The point of contact of the plane 2x - 2 y+ z+12 = 0 touches the sphere $x^{2}+y^{2}+z^{2}-2x-4y+2z-3=0$ is :
1). (2, 1, 4)
2). (1, 4, 2)
3). (-1, 4, -2)
4). (4, 1, 2)
In a plane triangle ABC. the maximum value of cos A cos B cos C is:
1). $\frac{1}{4}$
2). $\frac{1}{8}$
3). $\frac{1}{2}$
4). $\frac{3}{4}$
Let R = {(1,1), (1,2), (1,3), (2,4), (3,2)} and S ={(1,3), (1,4), (2,3), (3,1), (4,1)} be the relations on a set A = {1,2,3,4}.
The composition SoR of R and S is:
1). {(1, 1), (1,3), (1,2), (2,1), (3,3)}
2). {(1,2), (1,3), (1,4), (2,1), (3,3)}
3). {(1, 1), (1,2), (1,4), (2,1), (3,3)}
4). {(1, 1), (1,3), (1,4), (2,1), (3,3)}
Let a and b be the roots of the equation Let c and d $x^{2}+px+1=0$ be the roots of the equation $x^{2}+qx+1=0$,
Then the value of (a-c)(b-c)(a + d)(b + d) is equal to:
1). $-p^{2}+q^{2}$
2). $p^{2}-q^{2}$
3). $-p^{2}-q^{2}$
4). $p^{2}+q^{2}$
If $sin^{-1}(x)+sin^{-1}(y)+sin^{-1}(z)=\frac{3\pi}{2}$, then the value of $((x)^{100}+(y)^{100}+(z)^{100})-\frac{9}{(x)^{101}+(y)^{101}+(z)^{101}}$ is :
1). 0
2). 3
3). 2
4). -1