Q.4213·Miscellaneous·2021·EasyThe third term of a GP is 3. What is the product of its first five terms?View question
Q.4214·Miscellaneous·2021·EasyThe element in the i th row and the j th column of a determinant of third order is equal to 2(i + j). What is the value of the determinant?View question
Q.4215·Miscellaneous·2021·EasyWith the numbers 2, 4, 6, 8, all the possible determinants with these four different elements are constructed. What is the sum of the values of all such determinants?View question
Q.4216·Miscellaneous·2021·EasyA parallelogram has three consecutive vertices (–3, 4), (0, –4) and (5, 2). The fourth vertex isView question
Q.4217·Miscellaneous·2021·EasyIf the lines y + px = 1 and y – qx = 2 are perpendicular, then which one of the following is correct?View question
Q.4218·Miscellaneous·2021·EasyIf A, B and C are in AP, then the straight line Ax + 2By + C = 0 will always pass through a fixed point. The fixed point isView question
Q.4219·Miscellaneous·2021·EasyIf the image of the point (–4, 2) by a line mirror is (4, –2), then what is the equation of the line mirror?View question
Q.4220·Miscellaneous·2021·EasyConsider the following statements in respect of the points (p, p – 3), (q + 3, q) and (6, 3): 1. The points lie on a straight line. 2. The points always lie in the first quadrant only for any value of p and q. Which of the above statements is/are correct?View question
Q.4221·Miscellaneous·2021·EasyThe point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?View question
Q.4222·Miscellaneous·2021·EasyConsider the following with regard to eccentricity (e) of a conic section: 1.e = 0 for circle 2.e = 1 for parabola 3.e < 1 for ellipse Which of the above are correct?View question
Q.4223·Miscellaneous·2021·EasyWhat is the angle between the two lines having direction ratios (6, 3, 6) and (3, 3, 0)?View question
Q.4224·Miscellaneous·2021·EasyWhat is the projection of the line segment joining A(7, –5) and B(–3, 4, –2) on y-axis?View question
Q.4225·Miscellaneous·2021·EasyWhat is the number of possible values of k for which the line joining the points (k, 1, 3) and (1, –2 + k, 1) also passes through the point (15, 2, –4)?View question
Q.4226·Miscellaneous·2021·EasyThe foot of the perpendicular drawn from the origin to the plane x + y + z = 3 isView question
Q.4227·Miscellaneous·2021·EasyA vector r = ai + bj is equally inclined to both x and y axes. If the magnitude of the vector is 2 units, then what are the values of a and b respectively?View question
Q.4228·Miscellaneous·2021·EasyIf a and b are two vectors such that | a + b | = | a – b | = 4, then which one of the following is correct?View question
Q.4229·Miscellaneous·2021·EasyWhich of the following statements are not correct : 1.The cross product of two unit vectors is always a unit vector. 2.The dot product of two unit vectors is always unity. 3.The magnitude of sum of two unit vectors is always greater than the magnitude of their difference.View question
Q.4230·Miscellaneous·2021·EasyWhich one from among the following planets is largest in size?View question