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.

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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:

When

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Question 11:

Solve:

Answer:

Let

And

And

On solving, we get

And

On solving, we get