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1.3 Coordinate Geometry in the x-y Plane

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Question 60

The line l1 l_1\,l1​ has the equation 5y−10=2x5y - 10 = 2x5y−10=2x The point P P\,P with x x\,x coordinate 4 lies on l1l_1l1​. The line l2 l_2\,l2​ is perpendicular to l1 l_1\,l1​ and passes through the point PPP.

a.

Find an equation for l2 l_2\,l2​ in the form ax+by+c=0ax + by + c = 0ax+by+c=0

[4]
b.

The lines l1 l_1\,l1​ and l2 l_2\,l2​ cross the x x\,x axis at the points Q Q\,Q and R R\,R respectively.

Calculate the area of the triangle QPRQPRQPR.

[4]

1.3 Coordinate Geometry in the x-y Plane Questions

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  3. /1.3 Coordinate Geometry in the x-y Plane