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Area of quadrilateral formed by two pair of lines `a^(2)x^(2)-b^(2)y^(2)-c(ax+by)=0` and `a^(2)x^(2)-b^(2)y^(2)+c(ax-by)=0` is

A

`c^2/(abs(ab))`

B

`(2c^2)/(abs(ab))`

C

`c^2/(2abs(ab))`

D

`(4c^2)/(abs(ab))`

Text Solution

Verified by Experts

The correct Answer is:
C
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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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  2. The condition that one of the pair of lines ax^2+2hxy+by^2=0 be conici...

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  3. The equation of a line which is parallel to the line common to the pai...

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  4. Area of the triangle formed by the lines 3x^(2)-4xy+y^(2)=0, 2x-y=6 is

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  6. The area (in square units ) of the triangle formed by x^2-3xy+2y^2=0 ...

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  7. The orthocentre of the triangle formed by the line x^2-3y^2=0 and the ...

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  8. The circumcentre of a triangle formed by the line x^2-y^2=0 and y-5=0...

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  9. The area of the square formed by lines 6x^2-5xy-6y^2=0 and 6x^2-5xy-6y...

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  10. The area of the triangle formed by the straight line x + y = 3 and the...

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  11. Area of quadrilateral formed by two pair of lines a^(2)x^(2)-b^(2)y^(2...

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  12. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

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  13. The square of the distance of the point of intersection of the line 6x...

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  14. If the eqaution ax^(2)+2hxy +by^(2) +2g x +2fy+c=0 represents a pair ...

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  15. If the lines x^(2)+2xy-35y^(2)-4x+44y-12=0 and 5x+lambday-8=0 ae concu...

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  16. If O is the origin and OP,OQ are the tangents from the origin to the c...

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  17. The pair of straight line x^2-3xy+2y^2=0 and x^2-3xy+2y^2+x-2=0 from a...

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  18. The combined equation of the diagonals of the square formed by the pai...

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  19. The lines joining the origin to the points of intetsection of x^2+y^2...

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  20. Let P(1),p(2),p(3) be the perpendicular distance between pair of paral...

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