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Through a point `A` on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines `a x^2+2h x y+b y^2=0` at `B` and `Cdot` If `A B=B C ,` then `h^2=4a b` (b) `8h^2=9a b` `9h^2=8a b` (d) `4h^2=a b`

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Through a point A on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines a x^2+2h x y+b y^2=0 at B and Cdot If A B=B C , then (a) h^2=4a b (b) 8h^2=9a b (c) 9h^2=8a b (d) 4h^2=a b

Through a point A (2,0) on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines a x^2+2h x y+b y^2=0 at B and Cdot If A B=B C , then (a) h^2=4a b (b) 8h^2=9a b (c) 9h^2=8a b (d) 4h^2=a b

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines a x^2+2h x y+b y^2=0 is (a-b)(x^2-y^2)+4h x y=0.

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines a x^2+2h x y+b y^2=0 is (a-b)(x^2-y^2)+4h x y=0.

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

X Y is drawn parallel to the base B C of Delta A B C cutting A B at X and A C at Y . If A B=4\ B X and Y C=2c m , then A Y= (a) 2c m (b) 4c m (c) 6c m (d) 8c m

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2.

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  2. Find the angle between the straight lines joining the origin to the ...

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  3. Through a point A on the x-axis, a straight line is drawn parallel to ...

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  4. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

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  5. Does equation x^2+2y^2-2sqrt(3)x-4y+5=0 satisfies the condition a b c+...

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  6. Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represen...

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  7. Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+...

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  8. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

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  9. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0 u...

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  10. If the lines px^2-qxy-y^2=0 makes the angles alpha and beta with X-axi...

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  11. Find the joint equation of the pair of lines which pass through the ...

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  12. If the sum of the slopes of the lines given by x^2-2c x y-7y^2=0 is fo...

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  13. The distance between the two lines represented by the equation 9x^2-24...

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  14. If the gradient one of the lines ax^2+2h x y+by^2=0 is twice that of t...

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  15. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

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  16. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

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

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  18. If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide w...

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

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

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