`[[1,-1],[2,3]]`+X=`[[3,4],[5,6]]`,where X=`[[a,b],[c,d]]`,then a+c-b-d=

Let x=[(2, 1),(0, 3)] be a matrix. If X^(6)=[(a, b),(c,d)] , then the number of divisors of (a+b+2020c+d) is equal to

Let |[x,2,x],[x^2,x,6],[x,x,6]|=a x^4+b x^3+c x^2+dx+edot Then, the value of 5a+4b+3c+2d+e is equal (a)0 (b) -16 (c) 16 (d) none of these

Given A=[{:(,3,-2),(,-1,4):}], B=[{:(,6),(,1):}], C=[{:(,-4),(,-5):}] and D=[{:(,2),(,2):}] . Find AB+2C-4D

Let |[x^2+3x,x-1,x+3],[x+1,-2x,x-4],[x-3,x+4, 3x]|=a x^4+b x^3+c x^2+e be an identity in x , where a , b , c , d , e are independent of xdot Then the value of e is (a) 4 (b) 0 (c) 1 (d) none of these

If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, then x in [3,4] (b) x in (2,3] (c) x in [2,3] (d) x in [2,4)

If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,2),B(-1,2,1) and C(1,2,1), then the locus of point D is a. x+y-z=3 b. y+z=6 c. y+z=0 d. y+z=-3

Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: AxxCsubBxxD

match the columns (a) a -4, b-2,c-5,d-1 (b) a-4,b-5,c-2,d-1 (c) a-4,b-5,c-1,d-2 (d) a-5, b-4,c-1,d-2

If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,2),B(-1,2,1)a n dC(1,2,1), then the locus of point D is a. x+y-z=3 b. y+z=6 c. y+z=0 d. y+z=-3

Let f(x)=[x^3 - 3] , where [.] is the greatest integer function, then the number of points in the interval (1,2) where function is discontinuous is (A) 4 (B) 5 (C) 6 (D) 7