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The area of the triangle formed by pair ...

The area of the triangle formed by pair of line `(ax+by)^2-3(bx-ay)^2=0 " and the line " ax+by+c=0` is

A

`c^2/(a^2+b^2)`

B

`c^2/(2(a^2+b^2))`

C

`c^2/(sqrt2(a^2+b^2))`

D

`c^2/(sqrt3(a^2+b^2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)
  1. The area of the triangle formed by two rays whose combined equation is...

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

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

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

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

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

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

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

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

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

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

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

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  13. The condition that one of the pair of lines ax^2+2hxy+by^2=0 be conici...

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

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

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  16. The area (in square units ) of the triangle formed by x+y+1=0 and the ...

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

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

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

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

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