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The orthocentre of the triangle formed ...

The orthocentre of the triangle formed by the lines `2x^(2)+3xy-2y^(2)-9x+7y-5=0` with `4x+5y-3=0` is

A

`(3//5,11//5)`

B

`(6//5,11//5)`

C

`(5//6,11//5)`

D

`(3//5,6//5)`

Text Solution

Verified by Experts

The correct Answer is:
1
The component lines of given pair of straight lines are perpendicular to each other . So , orthocentre is the point of interaection of component lines.
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CENGAGE-PAIR OF STRAIGHT LINES-Exercise (Single)
  1. The equation x-y=4 and x^2+4xy+y^2=0 represent the sides of

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  2. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

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  3. If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exact...

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

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  5. If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated ...

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

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  7. The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

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  8. 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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  9. If the equation of the pair of straight lines passing through the poin...

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  10. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisect the a...

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

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

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  13. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

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  14. If the slope of one of the lines represented by a x^2+2h x y+b y^2=0 i...

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  15. x+y=7 and a x^2+2h x y+a y^2=0,(a!=0) , are three real distinct lines ...

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  16. Statement 1 : If -h2=a+b , then one line of the pair of lines a x^2...

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  17. The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

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  18. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)...

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

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  20. The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)...

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