if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the increasing sequence of positive root

if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the increasing sequence of positive root
by

1 Answer

Answer :

if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the ... `1` D. third term is `(-1+sqrt(11))/(2)`
by

Related questions

The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

Description : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

Last Answer : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of

Description : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of

Last Answer : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315 ... is A. `10` B. `20` C. `50` D. `80`

If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then the maximum value of the sum of the squares of

Description : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then the maximum value of the sum of the squares of

Last Answer : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then ... the roots is. A. 4 B. 3 C. `9//4` D. 2

Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`

Description : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`

Last Answer : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4` A. ` ... 1+sqrt2)x+(sqrt2-1) pi` D. None of the above

The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0

Description : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0

Last Answer : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , ... -1 B. 0 C. `(1)/(2)` D. 1

Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta + 1=0` and `alpha_2 and beta_2` are the

Description : Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta + 1=0` and `alpha_2 and beta_2` are the

Last Answer : Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta ... )` B. `2sectheta` C. `-2tantheta` D. `0`

If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.

Description : If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.

Last Answer : If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.

If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, the numerically greater root has `"_____"` sign. [p

Description : If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, the numerically greater root has `"_____"` sign. [p

Last Answer : If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, ... root has `"_____"` sign. [positive/negative]

Identify the correct sequence of increasing of `pi-` bonds in the structure of the following molecules `:` `(I)H_(2)S_(2)O_(6)" "(II)H_(2)S_(2)O_(3)"

Description : Identify the correct sequence of increasing of `pi-` bonds in the structure of the following molecules `:` `(I)H_(2)S_(2)O_(6)" "(II)H_(2)S_(2)O_(3)"

Last Answer : Identify the correct sequence of increasing of `pi-` bonds in the structure of the following molecules `:` `(I)H_(2) ... I C. II, I, III D. I, III,II

Identify the correct sequence of increasing of `pi-` bonds in the structure of the following molecules `:` `(I)H_(2)S_(2)O_(6)" "(II)H_(2)S_(2)O_(3)"

Description : Identify the correct sequence of increasing of `pi-` bonds in the structure of the following molecules `:` `(I)H_(2)S_(2)O_(6)" "(II)H_(2)S_(2)O_(3)"

Last Answer : Identify the correct sequence of increasing of `pi-` bonds in the structure of the following molecules `:` `(I)H_(2) ... i C. ii, I, iii D. I, iii, ii

`x_1 ,x_2` are the `x^2-3x+A= 0; x_3 , x_4` are roots of the equation `x^2-12x + B =0` of the equation `x_1 ,x_2 ,x_3 , x_4` form in increasing `GP`.,

Description : `x_1 ,x_2` are the `x^2-3x+A= 0; x_3 , x_4` are roots of the equation `x^2-12x + B =0` of the equation `x_1 ,x_2 ,x_3 , x_4` form in increasing `GP`.,

Last Answer : `x_1 ,x_2` are the `x^2-3x+A= 0; x_3 , x_4` are roots of the equation `x^2-12x + B =0` of the equation `x_1 ... x_(1) + x_(3) =5` D. `x_(2)+x_(4)=10`

If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is :

Description : If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is :

Last Answer : If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is : A. `[0,1]` B. `( ... 0,(1)/(sqrt(2)))uu(1/(sqrt(2)),1]` D. `(0,1]`

If `sin^4 alpha + 4 cos^4 beta + 2 = 4sqrt2 sin alpha cos beta ; alpha, beta in [0,pi],` then `cos(alpha+beta) - cos(alpha - beta)` is equal to :

Description : If `sin^4 alpha + 4 cos^4 beta + 2 = 4sqrt2 sin alpha cos beta ; alpha, beta in [0,pi],` then `cos(alpha+beta) - cos(alpha - beta)` is equal to :

Last Answer : If `sin^4 alpha + 4 cos^4 beta + 2 = 4sqrt2 sin alpha cos beta ; alpha, beta in [0,pi],` then `cos(alpha+beta ... sqrt(2)` B. `0` C. `sqrt(2)` D. `-1`

Let `cos(alpha+beta)=(4)/(5)` and let `sin(alpha-beta)=(5)/(13)`, where `0 le alpha`, `beta=(pi)/(4)`. Then`tan2alpha=`

Description : Let `cos(alpha+beta)=(4)/(5)` and let `sin(alpha-beta)=(5)/(13)`, where `0 le alpha`, `beta=(pi)/(4)`. Then`tan2alpha=`

Last Answer : Let `cos(alpha+beta)=(4)/(5)` and let `sin(alpha-beta)=(5)/(13)`, where `0 le alpha`, `beta=(pi)/(4)`. Then ... 19)/(12)` C. `(20)/(7)` D. `(25)/(16)`

If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?

Description : If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?

Last Answer : I think you mean the roots are prime numbers.Let the two roots be primes p and qThen the equation factorises to (x - p)(x - q) = 0 which can beexpanded to give:x² - (p + q)x + pq = 0Which comparing ... = 2(It doesn't matter if the other prime is even (2) or not as itcancels out from a - b.)

`int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?`

Description : `int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?`

Last Answer : `int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?` A. `0` B. `1` C. None of the above D.

`int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`

Description : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`

Last Answer : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?` A. `(pi)/(2)` B. `pi` C. `2pi` D.

`int_(0)^(pi//2) x sin cos x dx=?`

Description : `int_(0)^(pi//2) x sin cos x dx=?`

Last Answer : `int_(0)^(pi//2) x sin cos x dx=?` A. `(pi)/(4)` B. `(pi)/(8)` C. `(pi)/(12)` D.

`int_(0)^(pi) x sin x. cos^(2) x dx`

Description : `int_(0)^(pi) x sin x. cos^(2) x dx`

Last Answer : `int_(0)^(pi) x sin x. cos^(2) x dx`

`int_(0)^(pi//2) x sin x cos x dx`

Description : `int_(0)^(pi//2) x sin x cos x dx`

Last Answer : `int_(0)^(pi//2) x sin x cos x dx`

`int_(0)^(pi) x sin^(2) x dx`

Description : `int_(0)^(pi) x sin^(2) x dx`

Last Answer : `int_(0)^(pi) x sin^(2) x dx`

`int_(0)^(pi//2) e^(x) (sin x + cos x) dx`

Description : `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`

Last Answer : `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`

`(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`

Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`

Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`

`int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`

Description : `int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`

Last Answer : `int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`

`int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`

Description : `int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`

Last Answer : `int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`

`int_(0)^(pi//2) sin^(2) x dx`

Description : `int_(0)^(pi//2) sin^(2) x dx`

Last Answer : `int_(0)^(pi//2) sin^(2) x dx`

`(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`

Description : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`

Last Answer : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`

`int_(0)^(pi//2) sin ^(4) x dx`

Description : `int_(0)^(pi//2) sin ^(4) x dx`

Last Answer : `int_(0)^(pi//2) sin ^(4) x dx`

`int_(0)^(pi//4) sin ^(2) x dx`

Description : `int_(0)^(pi//4) sin ^(2) x dx`

Last Answer : `int_(0)^(pi//4) sin ^(2) x dx`

Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

Description : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

Last Answer : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

No. of solutions of `16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi` is

Description : No. of solutions of `16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi` is

Last Answer : No. of solutions of `16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi` is

The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is 16. The least common multiple of the two

Description : The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is 16. The least common multiple of the two

Last Answer : The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is ... A. 18240 B. 18480 C. 18960 D. 19240

If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` then k is equal to

Description : If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` then k is equal to

Last Answer : If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` ... (20)/(9)` C. `(2)/(3)` D. `(13)/(9)`

integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`

Description : integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`

Last Answer : integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`

Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`

Description : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`

Last Answer : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`

Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`

Description : Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`

Last Answer : Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`

If the function `f(x) = a sin x + 1/3 sin 3x ` is maximum at `x= pi/3 ` a=?

Description : If the function `f(x) = a sin x + 1/3 sin 3x ` is maximum at `x= pi/3 ` a=?

Last Answer : If the function `f(x) = a sin x + 1/3 sin 3x ` is maximum at `x= pi/3 ` a=? A. 1 B. 2 C. 3 D. 4

`int_(0)^(pi) sin 3x dx`

Description : `int_(0)^(pi) sin 3x dx`

Last Answer : `int_(0)^(pi) sin 3x dx`

`int_(0)^(pi//6) sqrt(1-sin 2x) dx`

Description : `int_(0)^(pi//6) sqrt(1-sin 2x) dx`

Last Answer : `int_(0)^(pi//6) sqrt(1-sin 2x) dx`

Two progressive transverse waves are described by : `y_(1) = 3.0 cm sin [(4x-700t)rad]` and `y_(2) = 3.0 cm sin [(4x-700t - pi//3) rad]`.

Description : Two progressive transverse waves are described by : `y_(1) = 3.0 cm sin [(4x-700t)rad]` and `y_(2) = 3.0 cm sin [(4x-700t - pi//3) rad]`.

Last Answer : Two progressive transverse waves are described by : `y_(1) = 3.0 cm sin [(4x-700t)rad]` and ... wave D. The particle will be oscillating in xy-plane.

The sum of all values of `theta in (0,pi/2)` satisfying `sin^(2)2theta+cos^(4)2theta=3/4` is

Description : The sum of all values of `theta in (0,pi/2)` satisfying `sin^(2)2theta+cos^(4)2theta=3/4` is

Last Answer : The sum of all values of `theta in (0,pi/2)` satisfying `sin^(2)2theta+cos^(4)2theta=3/4` is A. `pi` B. `(pi)/(2)` C. `(3pi)/(8)` D. `(5pi)/(4)`

In an L-C -R search circuit connected to an AC source `V=V_(0)sin(100pi+(pi)/(6))``V_(R)=40V, V_(L)=40 and V_(C )=10V`, resistance `R=4Omega` Choose t

Description : In an L-C -R search circuit connected to an AC source `V=V_(0)sin(100pi+(pi)/(6))``V_(R)=40V, V_(L)=40 and V_(C )=10V`, resistance `R=4Omega` Choose t

Last Answer : In an L-C -R search circuit connected to an AC source `V=V_(0)sin(100pi+(pi)/(6))``V_(R)=40V, V_ ... (a) and (b) are correct D. Both a and b are wrong

In an L-C -R series circuit connected to an AC source `V=V_(0)sin(100pi(t)+(pi)/(6))``V_(R)=40V, V_(L)=40 and V_(C )=10V`, resistance `R=4Omega` Choos

Description : In an L-C -R series circuit connected to an AC source `V=V_(0)sin(100pi(t)+(pi)/(6))``V_(R)=40V, V_(L)=40 and V_(C )=10V`, resistance `R=4Omega` Choos

Last Answer : In an L-C -R series circuit connected to an AC source `V=V_(0)sin(100pi(t)+(pi)/(6))``V_(R)=40V, V_(L) ... (2) A` C. `20sqrt(2) A` D. `25sqrt(2) A`

If p, q, r are positive and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are real for : -Maths 9th

Description : If p, q, r are positive and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are real for : -Maths 9th

Last Answer : Given p,q,r are in A.P. then q=2p+r​.....(1). Now px2+qx+r=0 will have real root then q2−4pr≥0. or, 4(p+r)2​−4pr≥0 or, p2+r2−14pr≥0 or, r2−14rp+49p2≥48p2 or, (r−7p)2≥(43​p)2 or, (pr​−7)2≥(43​)2 [ Since p=0 for the given equation to be quadratic] or, ∣∣∣∣∣​pr​−7∣∣∣∣∣​≥43​.

Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.

Description : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.

Last Answer : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.

Q. The value of is equal `sum_(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k pi/6))` is equal

Description : Q. The value of is equal `sum_(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k pi/6))` is equal

Last Answer : Q. The value of is equal `sum_(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k pi/6))` is equal A. `3-sqrt(3)` ... (3))` C. `2(sqrt(3)-1)` D. `2(2+sqrt(3))`

If the difference in the roots of the equation x^2 – px + q = 0 is unity, then which one of the following is correct ? -Maths 9th

Description : If the difference in the roots of the equation x^2 – px + q = 0 is unity, then which one of the following is correct ? -Maths 9th

Last Answer : answer:

If the roots of the equation x^2 – 2ax + a^2 + a – 3 = 0 are real and less than 3, then which one of the following is correct ? -Maths 9th

Description : If the roots of the equation x^2 – 2ax + a^2 + a – 3 = 0 are real and less than 3, then which one of the following is correct ? -Maths 9th

Last Answer : answer:

If the roots of the equation x^2 + x + 1 = 0 are in the ratio of m : n, then which one of the following relation holds ? -Maths 9th

Description : If the roots of the equation x^2 + x + 1 = 0 are in the ratio of m : n, then which one of the following relation holds ? -Maths 9th

Last Answer : answer:

If the roots of the equation a(b – c) x^2 + b(c – a)x + c(a – b) = 0 are equal, then a, b, c are in : -Maths 9th

Description : If the roots of the equation a(b – c) x^2 + b(c – a)x + c(a – b) = 0 are equal, then a, b, c are in : -Maths 9th

Last Answer : As we know that for the quadratic equation ax2+bx+c=0, roots will be equal if D=B2−4AC=0 Therefore, for the equation, a(b−c)x2+b(c−a)x+c(a−b)=0 A=a(b−c),B=b(c−a),C=c(a−b) D=0 B2−4AC=0 (b(c−a))2−4(a(b−c))(c(a−b))=0 ⇒ab+bc=2ac Hence a,b and c are in HP.