Embibe Experts Solutions for Chapter: Quadratic Equations, Exercise 1: BITSAT 2017

In the real number system, the equation $\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1$ has

Suppose a parabola $y=a{x}^2+bx+c$ has two $x$ intercepts, one positive and one negative, and its vertex is $(2,-2)$, then which of the following is true?

Let $p$ and $q$ be roots of the equation $x^2-2x+A=0$ and let $r$ and $s$ be the roots of the equation $x^2-18x+B=0$. If $p<q<r<s$ are in arithmetic progression, then $A$ and $B$ are

If $x,y,z\in R, x+y+z=5, x^2+y^2+z^2=9$, then length of interval in which $x$ lies is

For the equation $3x^2+px+3=0,p>0$, if one of the roots is square of the other, then $p$ is equal to