Q.9037·Miscellaneous·2016·EasyLet f(x) = { (e^x – 1)/x, x > 0 0, x = 0 } be a real valued function. Which one of the following statements is correct ?View question
Q.9038·Miscellaneous·2016·EasyLet f(x) = { (e^x – 1)/x, x > 0 0, x = 0 } be a real valued function. Which of the following statements is/are correct ? 1. f(x) is right continuous at x = 0. 2. f(x) is discontinuous at x = 1. Select the correct answer using the code given below :View question
Q.9039·Miscellaneous·2016·EasyConsider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What are the coordinates of the point on the parabola which is closest to the straight line ?View question
Q.9040·Miscellaneous·2016·EasyConsider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What is the shortest distance from the above point on the parabola to the line ?View question
Q.9041·Miscellaneous·2016·EasyLet f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| Which of the following statements is/are correct ? g(x) is differentiable at x = 0. g(x) is differentiable at x = 2. Select the correct answer using the code given below :View question
Q.9043·Miscellaneous·2016·EasyLet ax³ + bx² + cx + d = 0 for x = (x+1, 2x, 3x, …). Then What is the value of a + b + c + d ?View question
Q.9044·Miscellaneous·2016·EasyThe interior angles of a polygon of n sides are in AP. The smallest angle is 120° and the common difference is 5°. How many possible values can n have ?View question
Q.9045·Miscellaneous·2016·EasyThe interior angles of a polygon of n sides are in AP. The smallest angle is 120° and the common difference is 5°. What is the largest interior angle of the polygon ?View question
Q.9046·Miscellaneous·2016·EasyIf f(x) = [cos x -sin x 0; sin x cos x 0; 0 0 1], then which of the following are correct ? 1.R(θ) × f(ϕ) = f(θ + ϕ) 2.The value of the determinant of the matrix f(θ) × f(ϕ) is 1. 3.The determinant of f(x) is an even function. Select the correct answer using the code given below :View question
Q.9047·Miscellaneous·2016·EasyIf A = [1 -1; 3 2] and B = [2 -2; -1 -2], then which of the following is/are correct ? 1.AB (A⁻¹B⁻¹) is a unit matrix. 2.(AB)⁻¹ = A⁻¹ B⁻¹. Select the correct answer using the code given below :View question
Q.9048·Miscellaneous·2016·EasyThe property of electric current which is applicable in the fuse wire isView question
Q.9049·Miscellaneous·2016·EasyAs per census 2011, which one of the following states has the highest number of inhabited villages?View question
Q.9050·Miscellaneous·2016·EasyWhich one of the following sectors is the largest contributor to carbon dioxide emissions from fuel consumption in India?View question
Q.9051·Miscellaneous·2016·EasyThe world’s largest biomass cookstove system for cooking in community kitchen has been installed atView question
Q.9052·Miscellaneous·2016·EasyMatch List I with List II and select the correct answer using the code given below the Lists: List I (Ultra mega power project at different stages of development) List II (State) A. Sasan 2. Madhya Pradesh B. Mundra 1. Gujarat C. Tilaiya 4. Jharkhand D. Krishnapattam 3. Andhra Pradesh Code:View question
Q.9053·Miscellaneous·2016·EasyWhich country won the Thomas Cup Badminton Championship, 2016?View question
Q.9054·Miscellaneous·2016·EasyWhich of the following statements about Krishi Kalyan Cess (KKC) is/are correct? 1. KKC is calculated in the same way as Service Tax is calculated. 2. The current rate of KKC is 0.50%. 3. KKC is similar to the KKS (Krishi Kalyan Surcharge). Select the correct answer using the code given below:View question