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Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 7

Answers (1)

Answer:

 (a,b,c)

Hint:

Let the points a,b,c and try to get the equation 

Given:

\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3 

Solution:

Let the point be (a,b,c)

The plane meets the coordinates are at A,B and C such that centroid of the triangle ABC  is (a,b,c)

So, the plane cuts x- axis at (3a,0,0) , so, x- intercept = 3a

The plane cuts z- axis at (0,0,3c)?z- intercept =3c

The plane cuts y-axis at (0,3b,0)?y- intercept =3b

? all one getting the equation

\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3

∴ the point will be (a,b,c)

Posted by

Gurleen Kaur

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