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Prove that point (4,1) divides perpendic...

Prove that point `(4,1)` divides perpendicular line segment joining points `(6,5) and (2,-1)` in ratio `8 : 5` internally.

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Find the coordinates of the point which divides the line segment joining the points (4,-3) and (8,5) in the ratio 3 : 1 internally.

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Find co-ordinates of the point which divides line segment joining points (2, -1, 4) and (4, 3, 2) in ratio 2 : 3 Internally.

Point P(-4, 2) lies on the line segment joining the points A(-4, 6) and B(-4, -6) .

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KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

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  2. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

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  3. Prove that point (4,1) divides perpendicular line segment joining poin...

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  4. A(5, 2), B(2, 3) and C(6, 5) are the verticies of Delta ABC. Find equa...

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  5. Find equation of line whose sum and product of intercepts on axis are ...

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  6. Line makes right angled triangle with axis whose area is 6 unit and le...

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  7. Find equation of line L whose length of perpendicular from origin is 2...

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  8. In which ratio line x+y=4 divides line segment joining points (-1,1) a...

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  9. Equation at sides of rectangle are x=a, x=a', y=b and y=b'. Obtain equ...

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  10. Find equation of line passes from point P(1,-7) which intersects axis ...

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  11. A(1, 4), B(2, -3) and C(-1, -2) are the verticies at Delta ABC then f...

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  12. Find the equation of line which makes a triangle with area (50)/( sqr...

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  13. A ray of light passing through the point (1,2) reflects on the X -axis...

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  14. Prove that line segment joining mid points of the two sides of the tri...

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  15. The Fahrenheit remperature F and absolute temperature K satisfy a line...

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  16. L : 3x + 2y-7 =0 (1) Reduce the above equation in slope intercept fr...

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  17. Find points on line x + y + 3 = 0 whose distance from line x+2y+2=0 is...

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  18. Length of perpendicular from origin to the line (x)/(a) + (y)/( b) = 1...

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  19. Find perpendicular distance from point (3,-1) to the line 12 x -5y-7=0...

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  20. If two sides of the quadrilateral are along the lines x+2y+3=0 and x+2...

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