Q.14095·Miscellaneous·2012·EasyWhat is the sum of the squares of direction cosines of the line joining the points (1, 2, -3) and (-2, 3, 1)?View question
Q.14099·Miscellaneous·2012·EasyWhat is the order of the product [a h g] [x] [b f y] [g f c] [z]View question
Q.14100·Miscellaneous·2012·EasyThe area bounded by the curve x = f(y), the y-axis and the two lines y = a and y = b is equal to:View question
Q.14103·Miscellaneous·2012·EasyConsider the following: 1.∫ ln 10 dx = x + c 2.∫ 10^x dx = 10^x + c where c is the constant of integration. Which of the above is/are correct?View question
Q.14104·Miscellaneous·2012·EasyWhat is the solution of the differential equation dy/dx + y/x = 0?View question
Q.14105·Miscellaneous·2012·EasyIf a = (2, 1, -1), b = (1, -1, 0), c = (5, -1, 1), then what is the unit vector parallel to a + b - c in the opposite direction?View question
Q.14106·Miscellaneous·2012·EasyIf the magnitudes of two vectors a and b are equal then which one of the following is correct?View question
Q.14107·Miscellaneous·2012·EasyConsider the following in respect of the function f(x) = |x - 3|: 1.f(x) is continuous at x = 3 2.f(x) is differentiable at x = 0 Which of the above statements is/are correct?View question
Q.14108·Miscellaneous·2012·EasyIf four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25?View question
Q.14109·Miscellaneous·2012·EasyLet O be the origin and P, Q, R be the points such that PO + OQ = QO + OR. Then which one of the following is correct?View question
Q.14110·Miscellaneous·2012·EasyWhat is the value of m if the vectors 2i - j + k, i + 2j - 3k and 3i + mj + 5k are coplanar?View question
Q.14111·Miscellaneous·2012·EasyIf the vectors i - xj - yk and i + xj + yk are orthogonal to each other, then what is the locus of the point (x, y)?View question
Q.14112·Miscellaneous·2012·EasyIf two rows of a determinant are identical, then what is the value of the determinant?View question