EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Quadratic Equations>BITSAT 2019>Q 1

HARD

BITSAT

IMPORTANT

Earn 100

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

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Important Questions on Quadratic Equations

MEDIUM

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Quadratic Equations>BITSAT 2019>Q 2

Suppose a parabola

y = a x^{2} + b x + c

has two

x

intercepts, one positive and one negative, and its vertex is

(2, - 2)

, then which of the following is true?

MEDIUM

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Quadratic Equations>BITSAT 2019>Q 3

Let

p

and

q

be roots of the equation

x^{2} - 2 x + A = 0

and let

r

and

s

be the roots of the equation

x^{2} - 18 x + B = 0

. If

p < q < r < s

are in arithmetic progression, then

A

and

B

are

HARD

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Quadratic Equations>BITSAT 2019>Q 4

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

MEDIUM

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Quadratic Equations>BITSAT 2017>Q 5

For the equation

3 x^{2} + p x + 3 = 0, p > 0

, if one of the roots is square of the other, then

p

is equal to