If p and q are odd integers, then the equation `x^2+2px+2q=0` (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

If a, b, c are rational and the tangent to the parabola y^2 = 4kx , at P(p, q) and Q(q, b) meet at R(r, c) , then the equation ax^2 + bx-2c=0 has (A) imaginary roots (B) real and equal roots (C) rational roots (D) irrational roots

If f(x)=x has non real roots, then the equation f(f(x))=x (A) has all real and unequal roots (B) has some real and non real roots (C) has all real and equal roots (D) has all non real roots

If x^(2) - px + q = 0 has equal integral roots, then

Which of the following is not true for equation x^(2)log8-xlog5=2(log2)-x (A) equation has one integral root (B) equation has no irrational roots (C) equation has rational roots (D) none of these

If a,b,c are rational and are in G.P and a-b, c-a, b-c are in H.P. then the equations ax^2+4bx-c=0 and a(b-c)x^2+b(c-a)x+c(a-b)=0 have (A) imaginary roots (B) irrational roots (C) rational roots (D) a common root

The equation 7x^(2)-(7pi+22)x+22pi=0has (A) equal roots (B) a root which is negative (C) rational roots only (D) a rational root and an irrational root.

True or false The equation 2x^2+3x+1=0 has an irrational root.

if the difference of the roots of the equation x^(2)-px +q=0 is unity.

If the equation x^(3) +px +q =0 has three real roots then show that 4p^(3)+ 27q^(2) lt 0 .

if p and q are non zero constants, the equation x^2+px+q=0 has roots alpha and beta then the equation qx^2+px+1=0 has roots