The value of `|[1,0] ,[2,6]|` a) 6 b) 0 c) 3 d) 8

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) (a) 4 (b) 6 (c) 3 (d) 2

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible values of z is (are) 3 (b) 2 (c) 4 (d) 8

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) 4 (b) 6 (c) 3 (d) 2

In Fig.40, A B C D is a parallelogram of area 144 c m^2, the value of x is (a) 8 (b) 6 (c) 9 (d) 10

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

The number of real or complex solutions of x^(2)-6|x|+8=0 is (a) 6 (b) 7 (c) 8 (d) 9

For the equation |x^2|+|x|-6=0 , the sum of the real roots is (a) 1 (b) 0 (c) 2 (d) none of these

If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,npi] , then value/values of n is/are (n in N) 5 (b) 3 (c) 4 (d) 6

In triangleABC , Delta=6 , abc=60 , r=1 Then the value of 1/a+a/b+a/c is nearly (a) 0.5 (b) 0.6 (c) 0.4 (d) 0.8

The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in the interval [0,1] is 2^(0. 4) (b) 2^(-0. 4) 1 (d) 2^(0. 6)