Description : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Last Answer : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Description : The smallest integral value of a such that `|x+a-3|+|x-2a|=|2x-a-3|` is true `AA x in R` is
Last Answer : The smallest integral value of a such that `|x+a-3|+|x-2a|=|2x-a-3|` is true `AA x in R` is A. `0` B. `1` C. `2 D. `3`
Description : Number of positive integral solution of the equation `|x^(2)-3x-3| gt |x^(2)+7x-13|` is/are
Last Answer : Number of positive integral solution of the equation `|x^(2)-3x-3| gt |x^(2)+7x-13|` is/are A. `0` B. `1` C. `2 D. `3`
Description : The solutions of a linear equation in two variables always take integral values .True / false -Maths 9th
Last Answer : answer:
Description : For any two real number a b and , we defined aRb if and only if sin^2a + cos^2b = 1. The relation R is -Maths 9th
Last Answer : (d) an equivalence relationGiven, a R b ⇒ sin2a + cos2b = 1 Reflexive: a R a ⇒ sin2 a + cos2 a = 1 ∀ a ∈ R (True) Symmetric: a R b ⇒ sin2 a + cos2 b = 1 ⇒ 1 - cos2 a + 1 - sin2 b = 1 ⇒ sin2 b + ... + cos2 b + sin2 b + cos2 c = 2 ⇒ sin2 a + cos2 c = 1 ⇒ a R c (True)∴ R is an equivalence relation.
Description : Find the number of solution of the following equation both `|sin x|=|x/10|`
Last Answer : Find the number of solution of the following equation both `|sin x|=|x/10|`
Description : sin 2A = 2 sin A is true when A = a 30° b 45° c 0° d 60°
Last Answer : a 0
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... Φ) C x = (A - Bt) e - ωt D x = X e - ξωt (cos ω d t + Φ)
Last Answer : A x = (A + Bt) e – ωt
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... ) C. x = (A - Bt) e - ωt D. x = X e - ξωt (cos ω d t + Φ
Last Answer : A. x = (A + Bt) e – ωt
Description : The equation m(d 2 x/ dt 2 ) + c (dx/dt) + Kx = F 0 sin ωt is a second order differential equation. The solution of this linear equation is given as A. complementary function B. particular function C. sum of complementary and particular function D. difference of complementary and particular function
Last Answer : C. sum of complementary and particular function
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the A differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... (C)x = (A - Bt) e - ωt ( D )x = X e - ξωt (cos ω d t + Φ
Last Answer : ( A ) x = (A + Bt) e – ωt
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equati damped free vibrations having single degree of freedom. What will be the solution to this differ equation if the system is critically ... c. x = (A - Bt) e - ωt d. x = X e - ξωt (cos ω d t + Φ)
Last Answer : a. x = (A + Bt) e – ωt
Description : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Last Answer : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Description : The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts
Last Answer : The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2 ... is A. `10` B. `5` C. `3` D. `0`
Description : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.
Last Answer : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.
Description : The number of positive integral values of m satisfying the inequalities 8m + 35 > 75 and 5m + 18 < 53 is -Maths 9th
Description : How can I obtain the integral equation f(x)?
Last Answer : xichyu look up your exponent rules involving square roots and then remember the power rule from way back when in calc I. This is literally the easiest calc problem ever.
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
Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution? -Maths 9th
Last Answer : The given linear equation is 2x + cy= 8. …(i) Now, by condition, x and y-coordinate of given linear equation are same, i.e., x = y. Put y = x in Eq. (i), we get
Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y as its solution? -Maths 9th
Last Answer : Solution :-
Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th
Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.
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 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)`.
Description : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Last Answer : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Description : Statement-1: \( f(x)=x^{n} \sin \left(\frac{1}{x}\right) \) is differentiable for all real values of \( x(n \geq 2) \)
Last Answer : Statement-1: \( f(x)=x^{n} \sin \left(\frac{1}{x}\right) \) is differentiable for all real ... 1. (d) Statement-1 is true, statement- 2 is false.
Description : Which equation will hold good for a magnetic material? a) Line integral of H is zero b) Surface integral of H is zero c) Line integral of B is zero d) Surface integral of B is zero
Last Answer : d) Surface integral of B is zero
Description : In which of the following forms can Maxwell’s equation not be represented? a) Static b) Differential c) Integral d) Harmonic
Last Answer : a) Static
Description : Poisson equation can be derived from which of the following equations? a) Point form of Gauss law b) Integral form of Gauss law c) Point form of Ampere law d) Integral form of Ampere law
Last Answer : a) Point form of Gauss law
Description : The gradient can be replaced by which of the following? a) Maxwell equation b) Volume integral c) Differential equatio
Last Answer : c) Differential equation
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 : The angle A lies in the third quadrant and it satisfies the equation 4 (sin^2x + cos x) = 1. What is the measure of angle A? -Maths 9th
Description : The equation e^(sin x) – e(–sin x) – 4 = 0 has -Maths 9th
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 : 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
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)`
Description : The function V = e x sin y + z does not satisfy Laplace equation. State True/False. a) True b) False
Last Answer : b) False
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)`
Description : Which of the listed conditions occur when selection is made for 'third point hoist' on the winch shown in the illustration? EL-0102 A. Master switch contacts '5', '6', '7', '8', and '9' close. B. Contactors '2M', ' ... ' and '2A' drop out. D. Master switch contacts '3','4', '6', '8', and '9' close.
Last Answer : Answer: D
Description : The pair of equations ax+2y=7 and 3x+by=16 represent parallel lines if (a)a=b (b)3a=2b (c)ab=6 (d)2a=3b
Last Answer : (c)ab=6
Description : Find the inductance of a material with 100 turns, area 12 units and current of 2A in air. a) 0.75mH b) 7.5mH c) 75mH d) 753mH
Last Answer : a) 0.75mH
Description : If `0
Last Answer : If `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
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 : Two coils have a mutual inductance 0.005H. The current changes in the first coil according to the equation `I=I_(0) sin omegat "where" I_(0)=10A and o
Last Answer : Two coils have a mutual inductance 0.005H. The current changes in the first coil according to the equation `I ... (pi//x)` volts. Find the value of x.
Description : De Broglie equation is (a) h/mv = 1 (b) E1 – E2 = hv (c) C = 1v (d) n1 = 2d sin q
Last Answer : Ans:(a)
Description : The de Broglie equation is (a) h/mv = 1 (b) hv = E2 - E1 (c) n 1 = 2d sin (d) c = hv
Description : Equation which measures alternating voltage is A. Vsin ω B. sin t C. Vo sinωt D. V=IR
Last Answer : Vo sinωt
Description : Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation. a) Yes b) No c) Data sufficient d) Potential is not defined
Last Answer : a) Yes