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P(3,1),Q(6,5) and R(x,y) are three point...

`P(3,1),Q(6,5)` and `R(x,y)` are three points such that `PRQ` is a right angle and the area of `DeltaRQP` is 7 sq.unit. Find the number of such points R.

A

0

B

1

C

2

D

4

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Chapter Test
  1. If one diagonal of a square is along the line x=2y and one of its vert...

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  2. The line which is parallel to x-axis and crosses the curve y=sqrt(x) a...

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  3. P(3,1),Q(6,5) and R(x,y) are three points such that PRQ is a right ang...

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  4. Find the equation of the straight line which passes through the point ...

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  5. What is the equation of the straight line which is perpendicular to y=...

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  6. Find the perpendicular distance between the lines 3x+4y+9=0 and to 6x...

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  7. The equation of the line passing through the point (1,2) and perpendic...

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  8. The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle which ...

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  9. Triangle formed by x^(2)-3y^(2)=0 and x=4 is

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  10. The co-ordinates of the orthocentre of the triangle bounded by the lin...

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  11. the lines (p+2q)x+(p-3q)y=p-q for different values of p&q passes troug...

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  12. Write the distance between the lines 4x+3y-11=0\ a n d\ 8x+6y-15=0.

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  13. If the diagonals of a parallelogram ABCD are along the lines x+5y=7 a...

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  14. The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle, whi...

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  15. Write the coordinates of the orthocentre of the triangle formed by ...

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  16. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

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  17. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

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  18. The diagonals of the parallelogram whose sides are lx+my+n = 0,lx+ my+...

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  19. The equation of the sides of a triangle are x-3y=0, 4x+3y=5 and 3x+y=0...

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  20. A straight line through P(1,2) is such that its intercept between the...

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