JEE PYQ

[JEE Advanced 1994] let p q in 1 2 3 4 the number of equations px 2

VAVidaara Admin Asked 2d ago 0 views 1 answer

Let $p,q\in\{1,2,3,4\}$. The number of equations $px^2+qx+1=0$ having real roots is

(a) $15$
(b) $9$
(c) $7$
(d) $8$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $7$

Need $q^2\ge4p$: $q=2\!:p=1$; $q=3\!:p=1,2$; $q=4\!:p=1,2,3,4$. Total $1+2+4=7$.

JEE Advanced 1994 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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