CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 17

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Question 9:

ABCD is a cyclic quadrilateral (see figure). Find the angles of the cyclic quadrilateral.

Find the angles of the cyclic quadrilateral

Find the Angles of the Cyclic Quadrilateral

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Answer:

We know that the sum of the measures of opposite angles in a cyclic quadrilateral is .

Also

Multiplying equation (1) by 3, we obtain:

Adding equations (2) and (3), we obtain:

Substituting the value of in equation (1), we obtain:

Question 10:

Draw graphs of the equations on the same graph paper . Find the area and co-ordinate of the vertices of the triangle formed by the two straight lines and the y-axis.

Answer:

Draw graphs of the equations on the same graph paper

When

Draw graphs of the equations on the same graph paper

Draw graphs of the equations on the same graph paper

Draw Graphs of the Equations on the Same Graph Paper

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Question 11:

Solve:

Answer:

Let

And

And

On solving, we get

And

On solving, we get