Q.667·Miscellaneous·2024·EasyThe area bounded by the parabola y^2 = kx and the line x = k, where k > 0, is 4/3 square units. What is the value of k?View question
Q.668·Miscellaneous·2024·EasyLet f(x) = [x]^2 – [x^2]. Consider the following statements: I. f(x) is continuous at x = 0. II. f(x) is continuous at x = 1. Which of the statements given above is/are correct?View question
Q.669·Miscellaneous·2024·EasyLet f(x) = [x]^2 – [x^2]. What is f(0.999) + f(1.001) equal toView question
Q.670·Miscellaneous·2024·EasyLet f(x) f(y) = f(xy) for all real x, y. If f(2) = 4, then what is the value of f(1/2)?View question
Q.671·Miscellaneous·2024·EasyUrn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?View question
Q.672·Miscellaneous·2024·EasyLet L: x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P: x + 2y + 3z + 1 = 0 be a plane. What is the point of intersection of L and P?View question
Q.673·Miscellaneous·2024·EasyLet L: x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P: x + 2y + 3z + 1 = 0 be a plane. What are the direction ratios of the line?View question
Q.674·Miscellaneous·2024·EasyWhat is the mean deviation of the first 10 natural numbers?View question
Q.675·Miscellaneous·2024·EasyTwo perfect dice are thrown. What is the probability that the sum of the numbers on the faces is neither 9 nor 10?View question
Q.676·Miscellaneous·2024·EasyThe occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?View question
Q.677·Miscellaneous·2024·EasyThe letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur alternatively?View question
Q.678·Miscellaneous·2024·EasyThree perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?View question
Q.679·Miscellaneous·2024·EasyFor two events A and B, P(A) = P(A|B) = 0.25 and P(B|A) = 0.5. Which of the following are correct? I. A and B are independent. II. P(Aᶜ ∪ Bᶜ) = 0.875 III. P(Aᶜ ∩ Bᶜ) = 0.375 Select the answer using the code given below:View question
Q.680·Miscellaneous·2024·EasyIf P(2, 4), Q(8, 12), R(10, 14) and S(x, y) are vertices of a parallelogram, then what is (x + y) equal to?View question
Q.681·Miscellaneous·2024·EasyLet S be the line of intersection of two planes x + y + z = 1 and 2x + 3y - 4z = 8. If (l, m, n) are direction cosines of S, then what is the value of 43(l^2 + m^2 + n^2)?View question
Q.682·Miscellaneous·2024·EasyLet S be the line of intersection of two planes x + y + z = 1 and 2x + 3y - 4z = 8. Which of the following are the direction ratios of S?View question
Q.683·Miscellaneous·2024·EasyLet 2x^2 + 2y^2 + 2z^2 + 3x + 3y + 3z - 6 = 0 be a sphere. The centre of the sphere lies on the planeView question
Q.684·Miscellaneous·2024·EasyThe diagonals of a quadrilateral ABCD are along the lines x – 2y = 1 and 4x + 2y = 3 . The quadrilateral ABCD may be aView question