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
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`
Description : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.
Last Answer : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.
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.
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
Description : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 <
Last Answer : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) ... (3pi)/(2)` D. `(3pi)/(2) lt phi lt 2pi`
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
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`
Description : Number of solution of `sinx cosx-3cosx+4sinx-13 gt 0` in `[0,2pi]` is equal to
Last Answer : Number of solution of `sinx cosx-3cosx+4sinx-13 gt 0` in `[0,2pi]` is equal to A. `0` B. `1` C. `2` D. `4`
Description : The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are
Last Answer : The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are A. `2` B. `3` C. `4` D. `1`
Description : A long straight wire is carrying a current of 12 A . The magnetic field at a distance of 8 cm is `(mu_(0) =4pi xx 10^(-7) N A ^(2))`
Last Answer : A long straight wire is carrying a current of 12 A . The magnetic field at a distance of 8 cm is `(mu_(0) =4pi xx ... /m^(2)` D. `4xx10^(-5)Wb//m^(2)`
Description : A current of 2 A is made to flow through a coil which has only one turn. The magnetic field produced at the centre is`4pi xx 10^(-6) "Wb"//m^(2).` the
Last Answer : A current of 2 A is made to flow through a coil which has only one turn. The magnetic field produced at the centre is` ... m` C. `0.1 m` D. `0.001 m`
Description : `int(sin(x-alpha)/(sin(x+alpha)) dx`
Last Answer : `int(sin(x-alpha)/(sin(x+alpha)) dx` A. `x cos 2alpha +sin 2alpha log| sin (x+alpha)|+c` B. `x cos ... log |sin (x+alpha)|+c` C. None of the above D.
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
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)`
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)}`
Description : If `0
Last Answer : If `0
Description : Ther ratio of T to `sqrt(l)` is `(2pi)/(sqrt(g))` then `sqrt(l)` is______.
Last Answer : Ther ratio of T to `sqrt(l)` is `(2pi)/(sqrt(g))` then `sqrt(l)` is______.
Description : Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` sqrt1/(alpha beta)`equal to `(i) 20 (ii) 3
Last Answer : Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` ... 1` A. `20` B. `3` C. `10` D. `1`
Description : Which search is equal to minimax search but eliminates the branches that can’t influence the final decision? a) Depth-first search b) Breadth-first search c) Alpha-beta pruning d) None of the mentioned
Last Answer : c) Alpha-beta pruning
Description : One curie is equal to: w) the square root of the binding energy x) the energy of an alpha-particle y) 3.7 x 1010 disintegrations per second z) mc2
Last Answer : ANSWER: Y -- 3.7 x 1010 DISINTEGRATIONS PER SECOND
Description : If sin x + cosec x = 2, then sin^n x + cosec^n x is equal to -Maths 9th
Last Answer : answer:
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))`
Description : What does sin -1.46 equal?
Last Answer : Assuming the angle is given in radians, it is -0.9939
Description : The maximum tangential stress σ t = (σ x sin 2θ)/2 is maximum if, θ is equal to ________ a. 45 o b. 90 o c. 270 o d. all of the above
Last Answer : a. 45 o
Description : If cos X = a/b, then sin X is equal to: a (b 2 -a 2 )/b b b−a/b c √(b 2 -a 2 )/b d √b−a/b
Last Answer : c √(b 2 -a 2 )/b
Description : 1 – cos 2 A is equal to: a sin 2 A b tan 2 A c 1 – sin 2 A d sec 2 A
Last Answer : a sin 2 A
Description : Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction (A) Along the plane (B) Horizontally (C) Vertically (D) At an angle equal to the angle of friction to the inclined plane
Last Answer : (D) At an angle equal to the angle of friction to the inclined plane
Description : According to the Snell's law if an electromagnetic wave is incident in a medium (refractive index n1) on another medium (refractive index m2); (A) The angle of incidence is equal to the angle of refraction (B) The angle of ... r) is given by sin i (C) Both (a) and (b) (D) Neither (a) nor (b)
Last Answer : Answer: Option B
Description : In order to increase sensitivity of U-tube manometer, one leg is usually inclined by angle . Sensitivity of inclined tube to sensitivity of U-tube is equal to (A) Sin (B) 1/Sin (C) Cos (D) 1/Cos
Description : surface lies at a distance equal to __________ the centre of gravity. (A) IG sin² / bellow (B) IG sin² / (C) IG sin / (D) IG sin /
Last Answer : Answer: Option A