The equation of sphere concentric with the sphere x2 + y2 + z2 - 4x - 6y - 8z - 5 = 0 and which passes through the origin, is
x2 + y2 + z2 - 4x - 6y - 8z = 0
x2 + y2 + z2 - 6y - 8z = 0
x2 + y2 + z2 = 0
x2 + y2 + z2 - 4x - 6y - 8z - 6 = 0
The two curves y = 3 and y = 5 intersect at an angle
A.
Given curves y = 3x ...(i)
and y = 5x ...(ii)
Intersect at the point (0, 1).
Now, differentiating Eqs. (i) and (ii) w.r.t. x, we get
If two circles 2x2 + 2y2 - 3x + 6y + k = 0 and x2 + y2 - 4x + 10y + 16 = 0 cut orthagobally then, value of k is
41
14
4
1
If B is a non-singular matrix and A is a square matrix, then det (B-1AB) is equal to
det(A-1)
det(B-1)
det(A)
det(B)
If f(x), g(x) and h(x) are three polynomials of degree 2 and , then is a polynomials of degree
2
3
0
atmost 3