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Find the value of a for which the lines ...

Find the value of `a` for which the lines represented by `a x^2+5x y+2y^2=0` are mutually perpendicular.

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Prove that the straight lines joining the origin to the point of in...

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  2. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

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  3. Find the value of a for which the lines represented by a x^2+5x y+2y^2...

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  4. Find the acute angle between the pair of lines represented by (xcosalp...

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  5. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

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  6. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

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  7. The orthocentre of the triangle formed by the lines x y=0 and x+y=1 ...

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  8. The lines joining the origin to the point of intersection of 3x^(2)+...

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  9. If the slope of one line is double the slope of another line and the ...

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  10. Find the combined equation of the pair of lines through the point (1, ...

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  11. The value k for which 4x^2+8x y+k y^2=9 is the equation of a pair of s...

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  12. The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicul...

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  13. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisect the ...

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  14. The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a)(...

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  15. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

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  16. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the ...

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  17. Statement 1 : If -2h=a+b , then one line of the pair of lines a x^2+...

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  18. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

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  19. Area of the triangle formed by the lines y^2-9x y+18 x^2=0a n d y=9 is

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  20. The distance between the lines (x+7y)^2+4sqrt(2)(x+7y)-42=0 is

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