Let , and be the vertices of a triangle. The area of the triangle is square…

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let

A(t, -2)

B(4, 3)

and

C(-1, 6)

be the vertices of a triangle. The area of the triangle is

35

square units. (i) Obtain the equation satisfied by

t

. (ii) Solve the equation to find all possible values of

t

. (iii) If the

x

–coordinate of

A

is required to be negative, state the permissible value of

t

with justification.