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Explain solution RD Sharma class 12 chapter 28 The Plane exercise Fill in the blank question 16 maths

Answers (1)

Answer:

 -2,\frac{4}{3},\frac{-4}{5}

are the intercepts made by the plane

Hint:

 Convert the given equation into intercept form

Given:

 2x - 3y + 5z + 4 = 0

Solution:

First let’s convert the given equation to intercept form i.e

\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1

Where a,b,c are x,y nad z intercepts respectively

Given,

2x - 3y + 5z + 4 = 0

⇒ -2x + 3y - 5z = 4

Dividing by 4 both sides

\frac{x}{-2}+\frac{y}{\frac{4}{3}}+\frac{z}{\frac{4}{-5}}=1

On comparing we have intercepts as

-2,\frac{4}{3},\frac{-4}{5}

Posted by

Gurleen Kaur

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