Q.2989·Miscellaneous·2022·EasyWho among the following laid the foundation of the Vijayanagara Empire?View question
Q.2992·Miscellaneous·2022·EasyIf 4f(x) - f(1/x) = (2x + 1/x)(2x - 1/x), then what is f(2) equal to?View question
Q.2993·Miscellaneous·2022·EasyConsider the following in respect of the function f(x) = 10^x: 1.Its domain is (−∞, ∞) 2.It is a continuous function 3.It is differentiable at x = 0 Which of the above statements are correct?View question
Q.2994·Miscellaneous·2022·EasyIf the derivative of the function f(x) = m/x + 2nx + 1 vanishes at x = 2, then what is the value of m + 8n?View question
Q.2995·Miscellaneous·2022·EasyIf xy = 4225 where x, y are natural numbers, then what is the minimum value of x + y?View question
Q.2996·Miscellaneous·2022·EasyWhat is the equation of the locus of the mid-point of the line segment obtained by cutting the line x + y = p, (where p is a real number) by the coordinate axes?View question
Q.2997·Miscellaneous·2022·EasyConsider the points A(2, 4, 6), B(–2, –4, –2), C(4, 6, 4) and D(8, 14, 12). Which of the following statements is/are correct? 1. The points are the vertices of a rectangle ABCD. 2. The mid-point of AC is the same as that of BD. Select the correct answer using the code given below:View question
Q.2998·Miscellaneous·2022·EasyA plane cuts intercepts 2, 2, 1 on the coordinate axes. What are the direction cosines of the normal to the plane?View question
Q.2999·Miscellaneous·2022·EasyConsider the following statements: 1. The direction ratios of y-axis can be <0, 4, 0> 2. The direction ratios of a line perpendicular to z-axis can be <5, 6, 0> Which of the statements given above is/are correct?View question
Q.3000·Miscellaneous·2022·EasyPQRS is a parallelogram. If PR = a and QS = b , then what is PQ equal to?View question
Q.3001·Miscellaneous·2022·EasyLet a and b are two unit vectors such that a + 2 b and 5 a – 4 b are perpendicular. What is the angle between a and b ?View question
Q.3002·Miscellaneous·2022·EasyThe position vectors of vertices A, B and C of triangle ABC are respectively j + k , 3 i + j + 5 k and 3 j + 3 k . What is angle C equal to?View question
Q.3003·Miscellaneous·2022·EasyLet z = [y] and y = [x] – x, where [.] is the greatest integer function. If x is not an integer but positive, then what is the value of z?View question
Q.3004·Miscellaneous·2022·EasyIf f(x) = 4x + 1 and g(x) = kx + 2 such that fog(x) = gof(x), then what is the value of k?View question
Q.3005·Miscellaneous·2022·EasyIf y = (x^x)^x, then which one of the following is correct?View question
Q.3006·Miscellaneous·2022·EasyWhat is the area of the region bounded by x – |y| = 0 and x – 2 = 0?View question