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If pairs of straight lines x^2-2pxy-y^2=...

If pairs of straight lines `x^2-2pxy-y^2=0`and `x^2-2qxy-y^2=0` be such that each pair bisects the angle between the other pair ,then

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the angle between the lines joining the origin to the points of i...

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  2. Prove that the straight lines joining the origin to the points of inte...

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  3. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

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  4. Find the value of a for which the lines represented by ax^(2)+5xy+2y^(...

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

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  6. If the angle between the lines represented by 2x^2+5xy+3y^2+7x+13y-3=0...

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  7. If the pair of straight lines ax^(2)+2hxy+by^(2)=0 is rotated about th...

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  8. The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

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

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  10. If the slope of one line is double the slope of another line and the c...

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  11. Find the combined equation of the pair of lines through the point (1,0...

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  12. The value k for which 4x^(2)+8xy+ky^(2)=9 is the equation of a pair of...

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  13. The two lines represented by 3ax^(2)+5xy+(a^(2)-2)y^(2)=0 are perpendi...

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  14. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisector of ...

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

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

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  17. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

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

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  19. Show that all chords of the curve 3x^(2)-y^(2)-2x+4y=0, which subtend...

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  20. Area of the triangle formed by the lines y^(2)-9xy+18x^(2)=0andy=6 is...

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