The number of values of `a` for which equations `x^3+a x+1=0a n d x^4+a x^2+1=0` have a common root is a. `0` b. `1` c. `2` d. Infinite

Determine the values of m for which equations 3x^2+4m x+2=0a n d2x^2+3x-2=0 may have a common root.

The value of b for which the equation x^2+bx-1=0 and x^2+x+b=0 have one root in common is

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equation x^2+b x-a=0"and" x^2-a x+b=0 have a common root, then a. a+b=0 b. a=b c. a-b=1 d. a+b=1

If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root, then the value k .

Number of integral values of a for which the equation x^2-(a+1)x+a-1=0 , has integral roots, is equal to -

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is 0 (b) 1 (c) 2 (d) infinite

If the equations a x^2+b x+c=0a n dx^3+3x^2+3x+2=0 have two common roots, then a. a=b=c b. a=b!=c c. a=-b=c d. none of these

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a. 3 b. 0 c. 1 d. 2

The number of values of k for which the equation x^3-3x+k=0 has two distinct roots lying in the interval (0,1) is three (b) two (c) infinitely many (d) zero