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  • Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise very short answer type question 19

Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise very short answer type question 19

Answers (1)

Answer:

 3 units

Hint:

 d=\left | \frac{ax_1+by_1+cz_1+d}{\sqrt{a^2+b^2+c^2}} \right |

Given:

 2x - 3y + 6z + 21 = 0

Solution:

 2x - 3y + 6z + 21 = 0            ......(i)

Point of origin (0,0,0)

Distance of plane (i) from (0,0,0)

\begin{aligned} &d=\left | \frac{ax_1+by_1+cz_1+d}{\sqrt{a^2+b^2+c^2}} \right |\\ &d=\left | \frac{2\times 0+3\times 0+6\times 0+21}{\sqrt{2^2+(-3)^2+6^2}} \right |\\ &d=\left | \frac{21}{\sqrt{49}} \right |\\ &d=\left | \frac{21}{7} \right |\\ &d=3 \end{aligned}

Posted by

Gurleen Kaur

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