EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main - 27 July 2021 Shift 2>Q 15

HARD

JEE Main

IMPORTANT

Earn 100

The number of real roots of the equation $e^{4 x} - e^{3 x} - 4 e^{2 x} - e^{x} + 1 = 0$ is equal to

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Important Questions on Quadratic Equations

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main 16 March 2021 Shift 1>Q 16

The number of elements in the set

\{x \in R : (| x | - 3) |x + 4| = 6\}

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main 16 March 2021 Shift 1>Q 17

The number of roots of the equation,

{(81)}^{\sin^{2} x} + {(81)}^{\cos^{2} x} = 30

in the interval

[0, π]

is equal to :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main 16 March 2021 Shift 2>Q 18

If the points of intersection of the ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{b^{2}} = 1$ and the circle $x^{2} + y^{2} = 4 b, b > 4$ lie on the curve $y^{2} = 3 x^{2}$ , then $b$ is equal to :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main 17 March 2021 Shift 1>Q 19

The value of

4 + \frac{1}{5 + \frac{1}{4 + \frac{1}{5 + \frac{1}{4 + \dots \dots \infty}}}}

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main 17 March 2021 Shift 1>Q 20

The maximum value of

z

in the following equation

z = 6 x y + y^{2},

where

3 x + 4 y \leq 100

and

4 x + 3 y \leq 75

for

x \geq 0

and

y \geq 0

is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main 18 March 2021 Shift 1>Q 21

The value of

3 + \frac{1}{4 + \frac{1}{3 + \frac{1}{4 + \frac{1}{3 + \dots \infty}}}}

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main - 24 Feb 2021 Shift 1>Q 22

Let

p

and

q

be two positive numbers such that

p + q = 2

and

p^{4} + q^{4} = 272

. Then

p

and

q

are roots of the equation:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Quadratic Equations>JEE Main - 24 Feb 2021 Shift 2>Q 23

The number of the real roots of the equation

{(x + 1)}^{2} + | x - 5 | = \frac{27}{4}

is ________.