Skills in Mathematics Differential Calculus for JEE Main & Advanced>Chapter 7 - dy/dx as a Rate Measurer & Tangents, Normals>Target Exercise 7.2

Amit M Agarwal Solutions for Chapter: dy/dx as a Rate Measurer & Tangents, Normals, Exercise 2: Target Exercise 7.2

Author:Amit M Agarwal

Amit M Agarwal Mathematics Solutions for Exercise - Amit M Agarwal Solutions for Chapter: dy/dx as a Rate Measurer & Tangents, Normals, Exercise 2: Target Exercise 7.2

Attempt the practice questions on Chapter 7: dy/dx as a Rate Measurer & Tangents, Normals, Exercise 2: Target Exercise 7.2 with hints and solutions to strengthen your understanding. Skills in Mathematics Differential Calculus for JEE Main & Advanced solutions are prepared by Experienced Embibe Experts.

Questions from Amit M Agarwal Solutions for Chapter: dy/dx as a Rate Measurer & Tangents, Normals, Exercise 2: Target Exercise 7.2 with Hints & Solutions

HARD

JEE Main

IMPORTANT

Skills in Mathematics Differential Calculus for JEE Main & Advanced>Chapter 7 - dy/dx as a Rate Measurer & Tangents, Normals>Target Exercise 7.2>Q 1

The angle of intersection of $y = a^{x}$ and $y = b^{x}$ , is given by:

HARD

JEE Main

IMPORTANT

Skills in Mathematics Differential Calculus for JEE Main & Advanced>Chapter 7 - dy/dx as a Rate Measurer & Tangents, Normals>Target Exercise 7.2>Q 2

The angle between the curves $x^{2} + 4 y^{2} = 32$ and $x^{2} - y^{2} = 12$ , is:

HARD

JEE Main

IMPORTANT

Skills in Mathematics Differential Calculus for JEE Main & Advanced>Chapter 7 - dy/dx as a Rate Measurer & Tangents, Normals>Target Exercise 7.2>Q 3

If $a x^{2} + b y^{2} = 1$ cuts $a^{'} x^{2} + b^{'} y^{2} = 1$ orthogonally, then:

MEDIUM

JEE Main

IMPORTANT

Skills in Mathematics Differential Calculus for JEE Main & Advanced>Chapter 7 - dy/dx as a Rate Measurer & Tangents, Normals>Target Exercise 7.2>Q 4

The length of subtangent to the curve, $y = e^{\frac{x}{a}}$ , is

HARD

JEE Main

IMPORTANT

Skills in Mathematics Differential Calculus for JEE Main & Advanced>Chapter 7 - dy/dx as a Rate Measurer & Tangents, Normals>Target Exercise 7.2>Q 5

The length of normal to the curve, $x = a (θ + \sin θ), y = a (1 - \cos θ)$ , at $θ = \frac{π}{2}$ is: