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P is a point on bar(AB) such that bar(AP...

P is a point on `bar(AB)` such that `bar(AP)=3bar(PB)`. If the coordinates of A and B be (3, -4) and (-5, 2) respectively, find P.

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P is a point on the line segment bar(AB) such that AP = PB. If the coordinates of A and B are (3, -4) and (-5, 2) respectively find the coordinates of P.

P is a point on the line - segment overline(AB) such that overline(AP)=overline(3PB) , if the coordinates of A and B are (3,-4) and (-5,2) respectively , find the coordinates of P.

If the point C(x,y,-14) lies on the line -segment bar(AB) produced where the coordinates of A and B are (2,-3,4) and (3,1,-2) respectively, then find the values of x and y.

The points P,Q,R are collinear , if the coordinates of P and Q be (3,4) and (7,7) respectively and overline(PR)=10 unit , find the coordinates of R.

ABCD is a parallelogram and P is the mid-point of bar(DC) . If Q is a point on bar(AP) , such that bar(AQ)=2/3bar(AP) , show that Q lies on the diagonal bar(BD) " and " bar(BQ)=2/3bar(BD) .

Find the equation of set of points P such that PA^(2)+PB^(2)=2k^(2) where A and B are the points (3,4,5) and (-1,3,-7) respectively

Find the locus of a point P such that 3bar(PA^2)=2bar(PB^2) where A(1,1,4) & B (2,1,3)

A (2,0) B(4,4) and C (6,2) are the vetices of the triangleABC . The mid - points of bar(BC) , bar(CA) and bar(AB) are D (5,3), E(4,1) and F(3,2) respectively. Then find the length of the three medians.

If A and B are (1, 4) and (5, 2) respectively, find the co-ordinates of P when (AP)/(BP) = 3/4

Find the slope of bar(AB) , where A(-4, 2), B(-4, -2)

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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