CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 22
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Question 14:
The area of a triangle is . Two of its vertices are . The third vertex lies on . Find the third vertex.
Answer:
Let the third vertex be , Other two vertices of the are and
lies on eq.
On solving eq.
We get
Similarly, on solving eq.
We get
Question 15:
Prove that the point are collinear, if
Answer:
Since are collinear
Area
Dividing by
Question 16:
If, is equidistant from and , find the values of x. Also, find the distances QR and PR.
Answer:
It is given that Q is equidistant from P and R. Using Distance Formula, we get
Squaring both sides, we get
Thus, Q is or .
Using Distance Formula to find QR, we get
Using value of
Therefore,
Using Distance Formula to find , we get
Using value of
Using value of
Therefore,