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If the points P (a, 1), Q (1, b), R (-2,...

If the points P (a, 1), Q (1, b), R (-2, 11) are collinear and Q be the mid - point of `bar(PR)`, then find the value of a and b.

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CALCUTTA BOOK HOUSE-SECTION FORMULAS-EXERCISE-2
  1. The sides of the rectangle ABCD are parallel to the axes. If the coord...

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  2. P(1, 4), Q(3, -9) and R(-5, 2) are the vertices of a triangle. Find th...

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  3. Find the coordinates of the point at which the line segment obtained b...

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  4. Find the coordinates of the point at which the line segment obtained b...

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  5. Find the ratio into which the line segment obtained by joining the poi...

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  6. Find the ratio into which the line segment obtained by joining the poi...

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  7. Determine the ratio into which the line segment obtained by joining th...

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  8. If the points (3, 2), (6, 3), (x, y) and (6, 5) when joined successive...

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  9. (2, 1), (5, 4) and (1, 4) are three vertices of a parallelgram. Find t...

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  10. A(-3, 5) and B(1, 7) are two consecutive vertices of a parallelogram. ...

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  11. P is a point on bar(AB) such that bar(AP)=3bar(PB). If the coordinates...

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  12. The sides of a rectangle are 20 units and 10 units respectively and ar...

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  13. P (2, -5), Q(1, -2) and R(4, 7) are the vertices of a triangle. Find t...

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  14. Find the ratio into which the line segment obtained by joining the poi...

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  15. The straight line 4x + 3y - 12 = 0 intersects the x -and y-axis A and ...

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  16. If the points P (a, 1), Q (1, b), R (-2, 11) are collinear and Q be th...

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  17. If one of the vertices and the centroid of a triangle be (1, 2) and (1...

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  18. P and Q are such two points on the line segment obtained by joining th...

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  19. Find the coordinates of the vertices of a triangle of which D (2, -1),...

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  20. If (2, 0), (4, 4) and (6, 2) are the vertices of the triangle ABC, the...

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