Equation `1+x^2+2x"sin"(cos^(-1)y)=0` is satisfied by (a) exactly one value of `x` (b) exactly two value of `x` (c) exactly one value of `y` (d) exactly two value of `y`

Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by exactly one value of x exactly two value of x exactly one value of y exactly two value of y

The equations x^(2)+x+a=0 and x^(2)+ax+1=0 have a common real root (a) for no value of a. (b) for exactly one value of a. (c) for exactly two values of a. (d) for exactly three values of a.

The lines p(p^2+""1)""x""" - "y""+""q""=""0 and (p^2+""1)^2x""+""(p^2+""1)""y""+""2q""=""0 are perpendicular to a common line for (a) no value of p (b) exactly one value of p (c) exactly two values of p (d) more than two values of p

The system of linear equations x+lambday-z=0 , lambdax-y-z=0 , x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .

If 0lt=xlt=2pi, then 2^(cosec^2(x)) sqrt(1/2y^2-y+1)lt=sqrt(2) (a) is satisfied by exactly one value of y (b) is satisfied by exactly two value of x (c) is satisfied by x for which cosx=0 (d) is satisfied by x for which sinx=0

The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exactly one point (b) exactly two points (c) exactly three points (d) no point

For the equation 1-2x-x^2=tan^2(x+y)+cot^2(x+y) (a)exactly one value of x exists (b)exactly two values of x exists (c) y=-1+npi+pi/4,n in Z (d) y=1+npi+pi/4, n in Z

If hat u and hat v are unit vectors and theta is the acute angle between them, then 2 hat uxx3 hat v is a unit vector for (1) exactly two values of theta (2) more than two values of theta (3) no value of theta (4) exactly one value of theta

For the equation 1-2x-x^2=tan^2(x+y)+cot^2(x+y) exactly one value of x exists exactly two values of x exists y=-1+npi+pi/4,n in Z y=1+npi+pi/4, n in Z