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The orthocentre of the triangle formed b...

The orthocentre of the triangle formed by the lines `x+3 y=10` and `6 x^(2)+x y-y^(2)=0` is

A

(1,3)

B

(3,1)

C

(-1,3)

D

(1,-3)

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
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  2. Area of the triangle formed by the lines 3 x^(2)-4 x y+y^(2)=0, quad 2...

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  3. The orthocentre of the triangle formed by the lines x+3 y=10 and 6 x^(...

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  4. If one of the lines of the pair a x^(2)+2 h x y+b y^(2)=0 bisects the ...

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  5. If the slope of one line is twice the slope of the other in the pair o...

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  6. If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurre...

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  7. If the angle 2 theta is acute, then the acute angle between the pair o...

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  8. If the coordinate axes are the bisectors of the angles between the pai...

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  9. If the pair of lines given by a x^(2)+2 h x y+b y^(2)=0 (h^(2)>a b) fo...

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  10. The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y...

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  11. The product of the perpendicular distances from the origin on the pair...

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  12. The centroid of the triangle formed by the pair of lines 12 x^(2)-20 x...

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  13. If m is the slope of one of the lines represented by ax^(2)+2hxy+by^(2...

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  14. The perpendicular distance between the lines 9 x^(2)-24 x y+16 y^(2)+2...

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  15. If the line px +qy =0 coincides with one of the lines given by ...

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  16. Let PQR be a right-angled isosceles triangle right-angled at P(2, 1). ...

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  17. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector ...

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  18. If the gradient of one of the lines given by x^(2)+2 h x y+2 y^(2)=0 i...

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  19. The angle between the lines x^(2)-y^(2)-2 x-1=0 is

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  20. The product of perpendiculars let fall from the point (x(1), y(1)) upo...

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