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The line segment joining the points A (3...

The line segment joining the points A (3,-4) and B (-2, 1) is divided in the ratio 1:3 at point P in it. Find the co-ordinates of P.
Also, find the equation of the line through P and perpendicular to the line `5x – 3y = 4`. 

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The correct Answer is:
`(7/4, (-11)/4)` ; Eq. is : `6x + 10y + 17 = 0`
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ICSE-EQUATION OF A LINE-EXERCISE 14(E)
  1. Point P divides the line segment joining the points A (8,0) and B (16,...

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  2. The line segment joining the points A (3,-4) and B (-2, 1) is divided ...

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  3. A line 5x + 3y + 15 = 0 meets y-axis at point P. Find the co-ordinates...

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  4. Find the value of k for which the lines kx - 5y + 4 = 0 and 5x – 2y +...

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  5. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

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  6. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

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  7. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

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  8. (1, 5) and (-3, -1) are the co-ordinates of vertices A and C respectiv...

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  9. Show that A (3, 2), B (6, -2) and C (2, -5) can be the vertices of a s...

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  10. Show that A (3, 2), B (6, -2) and C (2, -5) can be the vertices of a s...

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  11. A line through origin meets the line x = 3y + 2 at right angles at poi...

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  12. A straight line passes through the point (3, 2) and the portion of thi...

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  13. Find the equation of the line passing through the point of intersectio...

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  14. Find the equation of the line which is perpendicular to the line x/a -...

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  15. O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Fi...

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  16. O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Fi...

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  17. Determine whether the line through points (-2, 3) and (4, 1) is perpen...

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  18. Given a straight line x cos 30^@ + y sin 30^@ = 2. Determine the equat...

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  19. Find the value of k such that the line (k-2)x+(k+3)y-5=0 perpendi...

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  20. Find the value of k such that the line (k-2)x+(k+3)y-5=0 is para...

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