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If p and q are the lengths of the perpen...

If `p` and `q` are the lengths of the perpendiculars from the origin to the straight lines `x sec alpha+y cosec alpha=a` and `x cos alpha-y sin alpha=a cos 2alpha, ` prove that `4p^(2)+q^(2)=a^(2)`

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AAKASH SERIES-STRAIGHT LINES-EXERCISE 3.4( LONG ANSWER QUESTIONS)
  1. If p and q are the lengths of the perpendiculars from the origin to th...

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  2. Find the equations of the line passing through the point of intersecti...

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  3. A variable straight line drawn through the point of intersection of th...

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  4. Two adjacent sides of a parallelogram are given by 4x+5y=0, 7x+2y=0 an...

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  5. Find the orthocentre of the triangle whose vertices are (5,-2),(-1,2),...

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  6. Find the orthocentre of the triangle whose vertices are (-5,-7),(13,2)...

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  7. Find the orthocentre of the triangle formed by 4x-7y+10=0, x+y-5=0, 7x...

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  8. Find the orthocentre of the triangle whose sides are 7x+y-10=0, x-2y+5...

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  9. Find the orthocentre of the triangle formed by the lines 2x-y=2,3x-2...

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  10. Find the circumcenter of the triangle whose vertices are (-2,3) , (2 ,...

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  11. Find the circumcentre of the triangle whose vertices are (1,3) (0,-2) ...

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  12. Find the circumcentre of the triangle whose vertices are (1,3) (-3,5) ...

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  13. Find the circumcentre of the triangle whose sides are given by x+y=0, ...

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  14. Find the circumcentre of the triangle whose sides are given by x+y=0, ...

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  15. Find the incentre of the triangle formed by the straight lines x=1,y=1...

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  16. Find the incentre of the triangle formed by the straight lines x+1=0,3...

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  17. Area of the triangle formed by the lines 2x-y-5=0, x-5y+11=0, x+y-1=0 ...

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  18. The Cartesian equation of the sides BC,CA, AB of a triangle are respec...

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