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  • Explain solution RD Sharma class 12 chapter 5 Determinants exercise multiple choise question 36 maths

Explain solution RD Sharma class 12 chapter 5 Determinants exercise multiple choise question 36 maths

Answers (1)

Answer:

Correct option(b)

Hint:

Use determinant to solve the area of triangle.

Given:

        Area of a triangle = 9sq.units

        Vertices of triangle = (-3,0),(3,0) and (0,k)

We have to find the value of k.

Solution:

We have,

        Area of a triangle = 9sq.units

        \frac{1}{2}\left|\begin{array}{ccc} -3 & 0 & 1 \\ 3 & 0 & 1 \\ 0 & k & 1 \end{array}\right|=9

Solving the determinant, we get

        \left | -k(-6) \right |=18

        \left | 6k \right |=18

        k=\pm 3

Hence k = 3 is required value of k.

Posted by

Gurleen Kaur

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