Q.5059·Miscellaneous·2020·EasyWhat is the solution of the differential equation ln(y) dy/dx = x?View question
Q.5060·Miscellaneous·2020·EasyWhich one of the following is correct in respect of the graph of y = (1 – x) / (x – 1)?View question
Q.5061·Miscellaneous·2020·EasyThe function u(x, y) = c which satisfies the differential equation x (dx – dy) + y (dy – dx) = 0, isView question
Q.5062·Miscellaneous·2020·EasyConsider the following statements for f(x) = e^{–|x|} : 1. The function is continuous at x = 0. 2. The function is differentiable at x = 0. Which of the above statements is/are correct?View question
Q.5063·Miscellaneous·2020·EasyIf  is a unit vector in the xy-plane making an angle 30° with the positive x-axis, then what is  equal to?View question
Q.5064·Miscellaneous·2020·EasyWhat is the equation of the plane which cuts an intercept 5 units on the z-axis and is parallel to xy-plane?View question
Q.5065·Miscellaneous·2020·EasyInto how many compartments do the coordinate planes divide the space?View question
Q.5066·Miscellaneous·2020·EasyIf a line has direction ratios < a + b, b + c, c + a >, then what is the sum of the squares of its direction cosines?View question
Q.5067·Miscellaneous·2020·EasyLet ABC be a triangle. If D(2, 5) and E(5, 9) are the mid-points of the sides AB and AC respectively, then what is the length of the side BC?View question
Q.5068·Miscellaneous·2020·EasyConsider the following in respect of a non-singular matrix of order 3: 1. A (adj A) = (adj A) A 2. |adj A| = |A|² Which of the above statements is/are correct?View question
Q.5069·Miscellaneous·2020·EasyWhat is the sum of the last five coefficients in the expansion of (1 + x)^9 when it is expanded in ascending powers of x?View question
Q.5070·Miscellaneous·2020·EasyLet p, q and r be three distinct positive real numbers. If D = (q/p) + (r/q) - (p/r), then which one of the following is correct?View question
Q.5071·Miscellaneous·2020·EasyConsider the proper subsets of {1, 2, 3, 4}. How many of these proper subsets are superset of the set {3}?View question
Q.5072·Miscellaneous·2020·EasyIf A is a matrix of order 3 × 5 and B is a matrix of order 5 × 3, then the order of AB and BA will respectively beView question
Q.5073·Miscellaneous·2020·EasyWhich of the following statements is NOT correct regarding the travel of sound waves?View question
Q.5074·Miscellaneous·2020·EasyA liquid is kept in a glass beaker. Which one of the following statements is correct regarding the pressure exerted by the liquid column at the base of the beaker?View question