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If the pairs of straight lines x^(2)-2px...

If the 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

A

pq=-1

B

p=q

C

p=-q

D

pq=1

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The correct Answer is:
A
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)
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  3. If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)...

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  6. The straight lines represented by the equation 135x^2+136xy+33y^2=0 ar...

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  7. The combined equation of the lines l(1), l(2) is 2x^(2)+6xy+y^(2)=0 a...

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  8. If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordi...

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  9. The area of the triangle formed by two rays whose combined equation is...

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  10. If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(...

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  11. The area of the triangle formed by pair of line (ax+by)^2-3(bx-ay)^2=0...

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  12. The lines represented by the equation x^(2)-y^(2)-x+3y-2=0 are

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  13. If the equation 2x^2+5xy+3y^2+6x+7y+=0 represents a pair of lines, the...

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  14. If the angle alpha is acut, then the acute angle between the pair of s...

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  15. The value of lambda " such that " lambdax^2-10xy+12y^2+5x-16y-3=0 repr...

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  16. If the pair of lines given by (x^(2)+y^(2))cos^(2) theta=(x cos theta+...

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  17. The distance from a point (alpha,beta) to a pair of lines passing thro...

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  18. If x^(2)+4xy+4y^(2)+4x+cy+3 can be written as the product of two linea...

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  19. The equation x^2-5xy+py^2+3x-8y+2=0 represents a pair of straight line...

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  20. The angle between the pair of lines whose equation is 4x^2+10xy+my2+5...

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