Home
Class 11
MATHS
The number if points (p,q) such that 'p,...

The number if points (p,q) such that 'p, q in {1,2,3,4}' then find the number of equations of the form `px^2+qx+1=0 having real roots is

A

7

B

8

C

9

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let p, p ne { 1,2,3,4} . The number of equations of the form px^(2) + qx + 1 = 0 having real roots is :

The number of real roots of the equation |x|^(2)-3|x|+2=0 is

If p and q are the roots of the equation x^2-p x+q=0 , then

If p and q are the roots of the equation x^(2)+p x+q=0 then

Let p,qin N and q gt p , the number of solutions of the equation q|sin theta |=p|cos theta| in the interval [0,2pi] is

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is

If p,q,r are in A.P. and are positive, the roots of the quadratic equation px^(2) + qx + r = 0 are real for :

If p,q,r , three positive real numbers are in A.P., then the roots of px^(2) + qx + r = 0 are all real for :

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

The roots of the equation (q- r) x^(2) + (r - p) x + (p - q)= 0 are