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

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
by

1 Answer

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`
by

Related questions

The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

Description : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

Last Answer : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

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)`

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

A linear network has a current input 4cos(ω t + 20º)A and a voltage output 10 cos(ωt +110º) V. Determine the associated impedance.

Description : A linear network has a current input 4cos(ω t + 20º)A and a voltage output 10 cos(ωt +110º) V. Determine the associated impedance.

Last Answer : Solution

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

Description : 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

Last 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)`

If an integer P is chosen at random in the interval 0 ≤ p ≤ 5, the probability that the roots of the equation x^2 + px -Maths 9th

Description : If an integer P is chosen at random in the interval 0 ≤ p ≤ 5, the probability that the roots of the equation x^2 + px -Maths 9th

Last Answer : answer:

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`

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

If 3sin x + 4cos x = 5, then 6 tan x/2 - 9 tan^2 x/2 is equal to -Maths 9th

Description : If 3sin x + 4cos x = 5, then 6 tan x/2 - 9 tan^2 x/2 is equal to -Maths 9th

Last Answer : answer:

The set of angles between `0` and `2pi` satisfying the equation `4cos^2theta-2sqrt2costheta-1=0` is

Description : The set of angles between `0` and `2pi` satisfying the equation `4cos^2theta-2sqrt2costheta-1=0` is

Last Answer : The set of angles between `0` and `2pi` satisfying the equation `4cos^2theta-2sqrt2costheta-1=0` is A. `{(pi)/( ... (7pi)/(12),(17)/(12),(23pi)/(12)}`

If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is

Description : If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is

Last Answer : If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is

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`

The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is

Description : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is

Last Answer : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is A. 1 B. `-1` C. 0 D. 2

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)`

`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//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) (dx)/(1+2 cos x)`

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

Last Answer : `int_(0)^(pi//2) (dx)/(1+2 cos x)`

`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//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`

`int_(0)^(pi) (1)/(5+2 cos x)dx`

Description : `int_(0)^(pi) (1)/(5+2 cos x)dx`

Last Answer : `int_(0)^(pi) (1)/(5+2 cos x)dx`

`int_(0)^(pi//2) (1)/(4+3 cos x)dx`

Description : `int_(0)^(pi//2) (1)/(4+3 cos x)dx`

Last Answer : `int_(0)^(pi//2) (1)/(4+3 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) (dx)/(4sin^(2) x + 5 cos^(2)x)`

Description : `int_(0)^(pi//2) (dx)/(4sin^(2) x + 5 cos^(2)x)`

Last Answer : `int_(0)^(pi//2) (dx)/(4sin^(2) x + 5 cos^(2)x)`

`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//6) cos x cos 3x dx`

Description : ` int_(0)^(pi//6) cos x cos 3x dx`

Last Answer : ` int_(0)^(pi//6) cos x cos 3x 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`

`(i) int_(0)^(pi//2) x cos x dx` (i) `int_(1)^(3) x. log x dx`

Description : `(i) int_(0)^(pi//2) x cos x dx` (i) `int_(1)^(3) x. log x dx`

Last Answer : `(i) int_(0)^(pi//2) x cos x dx` (i) `int_(1)^(3) x. log x dx`

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

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

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

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

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.

If the equation (a^2 + b^2) x^2 – 2 (ac + bd)x + (c^2 + d^2) = 0 has equal roots, then which one of the following is correct ? -Maths 9th

Description : If the equation (a^2 + b^2) x^2 – 2 (ac + bd)x + (c^2 + d^2) = 0 has equal roots, then which one of the following is correct ? -Maths 9th

Last Answer : The given quadratic equation is (a2 + b2)x2 − 2(ac + bd)x + (c2 + d2) = 0. If the roots of given quadratic equation are equal, then its discriminant is zero.

If the roots of the equation (b – c)x2 + (c – a)x + (a – b) = 0 are equal, then prove that 2b = a + c. -Maths 10th

Description : If the roots of the equation (b – c)x2 + (c – a)x + (a – b) = 0 are equal, then prove that 2b = a + c. -Maths 10th

Last Answer : following is the equation of 2b = a+c =

If the roots ff the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are equal, then prove that either a = 0 or a3 + b3 + c3 = 3abc -Maths 10th

Description : If the roots ff the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are equal, then prove that either a = 0 or a3 + b3 + c3 = 3abc -Maths 10th

Last Answer : (c2 – ab) x2 + 2(bc - a2 ) x+ (b2 – ac) = 0 Comparing with Ax2 + Bx + C = 0 A = (c2 – ab), B = 2(bc - a2 ) and C = b2 – ac According to the question, B2 - 4AC = 0 Put the values in the above equation we get 4a(a3 + b3 + c3 -3abc) = 0 hence, a = 0 or a3 + b3 + c3 = 3ab

Let `S={xepsilon(-pi,pi):x!=0,+pi/2}`The sum of all distinct solutions of the equation `sqrt3secx+cosecx+2(tan x-cot x)=0` in the set S is equal to

Description : Let `S={xepsilon(-pi,pi):x!=0,+pi/2}`The sum of all distinct solutions of the equation `sqrt3secx+cosecx+2(tan x-cot x)=0` in the set S is equal to

Last Answer : Let `S={xepsilon(-pi,pi):x!=0,+pi/2}`The sum of all distinct solutions of the equation `sqrt3secx+cosecx+2(tan x- ... 2pi)/(9)` C. `0` D. `(5pi)/(9)`

If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Description : If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Last Answer : Let the roots of the equation x3 – ax2 + bx – c = 0 be (α – 1), α, (α + 1) ∴ S2 = (α – 1)α + α(α + 1) + (α + 1) ( ... ; 1 = b ⇒ 3α2 – 1 = b ∴ Minimum value of b = – 1, when α = 0.

If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.

Description : If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.

Last Answer : If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.

If `alpha, beta` are roots of equation `x^(2)-4x-3=0` and `s_(n)=alpha^(n)+beta^(n), n in N` then the value of `(s_(7)-4s_(6))/s_(5)` is

Description : If `alpha, beta` are roots of equation `x^(2)-4x-3=0` and `s_(n)=alpha^(n)+beta^(n), n in N` then the value of `(s_(7)-4s_(6))/s_(5)` is

Last Answer : If `alpha, beta` are roots of equation `x^(2)-4x-3=0` and `s_(n)=alpha^(n)+beta^(n), n in N` then the value ... 4s_(6))/s_(5)` is A. 4 B. 3 C. 5 D. 7

`int_(pi//6)^(pi//2) cos x dx`

Description : `int_(pi//6)^(pi//2) cos x dx`

Last Answer : `int_(pi//6)^(pi//2) cos x dx`

Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+bY^2` where `a,b` are constants such that

Description : Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+bY^2` where `a,b` are constants such that

Last Answer : Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+ ... C. `a=3`, `b=-1` D. `theta=(pi)/(3)`

\( Q: \int_{\frac{5 \pi}{4}}^{\frac{3 \pi}{2}} \frac{\frac{x}{x}-\frac{x \cdot x}{2}+\frac{(x 2)^{2}}{24}-\frac{x^{4} x 2}{720}+\cdots \infty}{\sqrt{\frac{1-\cos 2 x}{8}}} \)

Description : \( Q: \int_{\frac{5 \pi}{4}}^{\frac{3 \pi}{2}} \frac{\frac{x}{x}-\frac{x \cdot x}{2}+\frac{(x 2)^{2}}{24}-\frac{x^{4} x 2}{720}+\cdots \infty}{\sqrt{\frac{1-\cos 2 x}{8}}} \)

Last Answer : (a) \( \infinite \) (b) \( \ln 2 \) (C) 0 (d) \( -2 \ln \sqrt{2} \) (e) \( e^{2} \)

`int_(0)^(pi//4) cos 0. " cosec"^(2) 0 do`

Description : `int_(0)^(pi//4) cos 0. " cosec"^(2) 0 do`

Last Answer : `int_(0)^(pi//4) cos 0. " cosec"^(2) 0 do`

`int_(0)^(pi//4) (1)/(1+cos 2x)dx`

Description : `int_(0)^(pi//4) (1)/(1+cos 2x)dx`

Last Answer : `int_(0)^(pi//4) (1)/(1+cos 2x)dx`

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

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

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

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

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

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

`int_(0)^(pi//2) cos 3x dx`

Description : `int_(0)^(pi//2) cos 3x dx`

Last Answer : `int_(0)^(pi//2) cos 3x dx`

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)`

`(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx`

Description : `(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx`

Last Answer : `(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx`