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If one of the lines given by the equatio...

If one of the lines given by the equation `2x^(2)+pxy+3y^(2)=0` coincide with one of those given by `2x^(2)+qxy-3y^(2)=0` and the other lines represented by them are perpendicular , then value of `p+q`is

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

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  2. If the equation of the pair of straight lines passing through the poin...

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  3. If one of the lines given by the equation 2x^(2)+pxy+3y^(2)=0 coincide...

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  4. If x^2+2h x y+y^2=0 represents the equation of the straight lines thro...

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  5. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

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  6. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

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  7. The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lin...

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  8. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

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  9. The combined equation of the lines l1a n dl2 is 2x^2+6x y+y^2=0 and ...

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  10. If the equation a x^2-6x y+y^2+bx +cy+d=0 represents a pair of lines w...

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  11. The equations of a line which is parallel to the line common to the p...

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  12. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is...

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  13. Area of the triangle formed by the line x+y=3 and the angle bisectors ...

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  14. The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of stra...

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  15. The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(...

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  16. If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have e...

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  17. The condition that one of the straight lines given by the equation a x...

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  18. If the lines represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are ro...

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  19. A point moves so that the distance between the foot of perpendicula...

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  20. The angle between the pair of lines whose equation is 4x^(2)+10xy+my^...

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