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If the coordinates of thepoints P , Q , R are respectively `(-7,5),(3,8),(-5,13)` and if RN is perpendicular to PQ and RT is parallel to PQ , find the equations of RN and RT.

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The correct Answer is:
`RNto10x+3y+11=0andRTto3x-10y+145=0`
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CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2B (Long Answer Type Questions )
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  2. If the coordinates of thepoints P , Q , R are respectively (-7,5),(3,...

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  3. A (4,6) , B (-1,3) and C(2,-2) are three given points . Find the foll...

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  4. A (4,6) , B (-1,3) and C(2,-2) are three given points . Find the foll...

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  5. Find the equation of the straight line through the point (2,1), which ...

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  6. Find the orthocentre of the triangle whose vertices are (2,7), (-6,1) ...

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  7. The coordinates of two vertices of a triangle are (-2,3) and (5,-1) ....

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  8. The equations of two adjacent side of a parallelogram are 4x+5y=0 and ...

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  9. Find the equation of the straight line which parallel with 3x+2y-6=0 a...

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  10. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

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  11. Show that the lines (a+b)x+(a-b)y-2ab=0,(a-b)x+(a+b)y-2ab=0andx+y=0 f...

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  12. Show the equations of the straight lines which pass through (3,2) and ...

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  13. Find the equation of the straight line which pass through the point (s...

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  14. Find the area of the triangle bounded by the straight line 2x+3y=6 and...

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  15. Two equation of a side of a rectangle is 4x+7y+5=0 and the two verti...

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  16. Find the distance of the line 3x-2y-1=0 from the point (5,3) measur...

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  17. The coordinates of one vertex of an equilateral triangle are (2,3) an...

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  18. The equation of the hypotenuse of an isosceles right angled triangle i...

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  19. The coordinates of the ends of one diagonal of a rectangle are (6,1) a...

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  20. Show that the four lines y=0,y=2,y-sqrt(3)x=0andy+sqrt(3)x=8sqrt(3) fo...

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