- The roots of A Bx+C=0 are ‘r’
and ‘s’ for roots of +px+q=0, to be
and find p
(a)^
(^)
(b)
(c)^
(d)^
(^) 2AC
- Consider equation (x-P)(x-6)+1=0
having integral coefficients. If equation
has integral roots, find ‘p’.
(a) 4 or 8 (b) 5 or 10
(c) 6 or 12 (d) 3 or 6 - Find sum of roots of equation
( √ ) ( √ )
( √ )
(a) 2-√ (b) 2+√ (c) 7- (^4) √
(d) 4
- If one root of a +bx+c=0 is square
of the other, then
(a) 0
(b) 0 (c)
( ) 0 (d)
None - If , β are roots of equation -
q(1+x)-r=0, then find (1+)(1+β)
(a) 1-r (b) 1+r (c) q-r (d)
q+r - The quadratic equation whose one
root is 2-√ is
(a) +4x+1=0 (b) 4x-1=0
(c) - 4x-1=0 (d) - 4x+1=0
- If equation - ax+b=0 and +bx-
a=0 have a common roots, then
(a) a+b= 1 (b) a=b (c)
a+2b=1 (d) a-b=1 - The solution for equation
(a) (1, 2) (b) (2, 3) (c) (2, 4)
(d) (1, 3)- If roots of equation
( )-15=0 are equal in
magnitude but opposite in sign, find k
(a) 0 (b) 1 (c) e (d) 2 - If , β are roots of 5 - x-2=0 then
find equation whose roots are^ and
(a) - x+10=0 (b) - x-10=0
(c) +x+10=0 (d) +x-10=0 - If , β are roots of equation -
2x+4=0, find
(a) 243 (b) 32 (c) - 32
(d) - 243 - If product of roots of equation -
3kx+2 - 1=0 is 7, find k.
(a) 1 (b) 2 (c) 3 (d) 4 - Find
√ √ (^) √ (^) √
(a) 10 (b) 8 (c) 6 (d) 4
- Solve for ‘x’ 16.^ /
=^
(a)^ (b)^ (c) (d) 0