The value of `|{:(1, 2, 3),(-4, 3, 6),( 2,-7, 9):}|` is a.213 b.-231 c.231 d. 39

The equation |{:(x-2,3,1),(4x-2,10,4),(2x-1,5,1):}|=0 is satisfied by

The value of (231)/(1000) is (a)0.231 (b) 2.31 (c) 23.1 (d) 0.0231

XOZ-plane divides the join of (2,3,1) and (6,7,1) in the ratio a. 3:7 b. 2:7 c. -3:7 d. -2:7

If y = (1)/(3) + (1*3)/(3 *6) + (1 * 3*5)/(3*6*9) +… then the value of y^(2) + 2y is a. 2 b.-2 c. 0 d . None of these

The value of m for which [{(1/(7^2))^(-2)}^(1/3)]^(1/4)=7^m , is (a) 1/3 (b) 1/4 (c) -3\ (d) 2

If the coordinates of the points A, B, C, D be (1, 2, 3) , (4, 5, 7) , ( 4, 3, 6) and (2, 9, 2) respectively, then find the angle between the lines AB and CD.

If the coordinates of the points A ,B ,C ,D are (1,2,3),(4,5,7),(-4,3,-6) and (2,9,2), then find the angle between A B and C Ddot

The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (c) (16)/7 (d) none of these

The inverse of the matrix [(2,3),(-4,7)] is (A) [(-2,-3),(4,-7)] (B) 1/26 [(7,-3),(4,2)] (C) [(7,4),(-3,2)] (D) [(7,-3),(4,2)]