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A straight line parallel to the line y=s...

A straight line parallel to the line `y=sqrt(3)x` passes through Q(2,3) and cuts the line `2x+4y-27=0` at P. Find the lengh of PQ.

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The correct Answer is:
`2sqrt(3)-1`
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AAKASH SERIES-STRAIGHT LINES-SOLVED EXAMPLES
  1. A straight line through P(3,4) makes an angle of 60^(@) with the posit...

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  2. A straight line through Q(sqrt(3),2) makes an angle pi//6 with positiv...

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  3. A straight line parallel to the line y=sqrt(3)x passes through Q(2,3) ...

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  4. Find the point of intersection of the lines 17x+2y-28=0 and 7x+2y-8=...

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  5. Show that the lines x+2=0,y-1=0 and 2x+3y+1=0 are concurrent.

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  6. Find the value of p, if straight line x+p=0,y+2=0 3x+2y+5=0 are concur...

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  7. Find the value of lamda if the lines 2x+3y+lamda=0, 3x-4y-13=0 and 8x-...

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  8. If the lines 2x-py+1=0, 3x-qy+1=0 and 4x-ry+1=0 are concurrent show th...

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  9. The three straight lines px+qy+r=0, qx+ry+p=0 ane rx+py+q=0 are concur...

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  10. Find the point of concurrence of the set of lines (2+5k)x-3(1+2k)y+(...

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  11. If a,b,c are arithmetic progression then show that the equation ax+by...

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  12. Find the equation of the straight line passing through the point of in...

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  13. Find the line passing through the point of intersection of the lines x...

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  14. The points (1, 3) and (5, 1) are two opposite vertices of a rectangle....

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  15. Find the orthocentre of the triangle formed by the vertices (-2,-1),(6...

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  16. Find the orthocentre of the triangle formed by x+y+10=0,x-y-2=0, 2x+y-...

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  17. Find the orthocentre of the triangle formed by the lines x+2y=0,4x+3y=...

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  18. Two vertices of a triangle are (5,-1) and (-2,3). If the orthocentre ...

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  19. Find the circumcentre of the triangle formed by the points (2,1),(1,-2...

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  20. Find the circumcentre of the triangle whose vertices are A(1,0),B(-1,2...

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