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The points (-2, -5), (2, -2), (8, a) are...

The points (-2, -5), (2, -2), (8, a) are collinear, find the value of a

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Since the given points (-2,-5),(2,-2),(8,a) are collinear.
`implies4+10+2a+16-40+2a=0`
`implies 4a-10=0omplies a= 5/2`.
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PATHFINDER-RECTANGULAR CO-ORDINATES-QUESTION BANK
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  2. A triangle with vertices (4,0),(-1,-1),(3,5) show that triangle is iso...

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  3. Find the condition If the segment joining the points (a,b) and (c,d) s...

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  4. If t1,t2 and t3 are distinct, the points (t1, 2at1 + at1^3), (t2, 2at2...

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  5. If A = (t^2,2t) and B = (1/t^2,-2/t) and S = (1,0), then show that 1...

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  6. The centroid of the triangle formed by the points (1,a), (2,b) and (c^...

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  7. A line is of the length 10 units and one end is at (2,-3). If the absc...

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  8. Three points (0,0),(3,sqrt3),(3,lambda) form an equilateral triangle. ...

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  9. The point (22,23) divides the join of P(7,5) and Q externally in the r...

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  10. Find out in centre of the triangle formed by (1,2),(3,4) and (2,3).

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  11. The medians of a triangle meet at (0,-3) and two vertices are at (-1,4...

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  12. The points (-a,-b),(a,b),(0,0) and (a^(2),ab), a ne 0, b ne 0 are alwa...

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  13. Find the area of the triangle with vertices at the points (a,b+c),(b,c...

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  14. Find the area of the triangle with vertices at (-4,1),(1,2),(4,-3).

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  15. The points A(-2,3),B(3,4),C(x,y) form an equilateral triangle. Find x ...

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  16. Find the ratio in which the segment joining the points (5,6) and (2,-3...

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  17. Find the ratio in which the segment joining the points (5,6) and (2,-3...

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  18. Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the verti...

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  19. Find the equation of the lines joining the centroid G with the vertice...

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  20. Find the equation of the right bisector of the line joining (1,1) and ...

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