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The equation x^(2)-6x^(2)y+11xy^(2)-6y^(...

The equation `x^(2)-6x^(2)y+11xy^(2)-6y^(3)=0` represents three straight lines passing through the origin, the slopes of which form an

A

an A.P.

B

a G.P.

C

an H.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
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  4. ABCD is a rhombus. Its diagonals AC and BD intersect at the point M an...

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  8. The equation ax^2+by^2+cx+cy=0 c !-=0 represents a pair of straight li...

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  9. The equation x^(2)-6x^(2)y+11xy^(2)-6y^(3)=0 represents three straight...

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  10. If the slope of the lines given by...8x^3+a x^2y+b x y^2+y^3=0 are in ...

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  11. If the slope of one of the lines given by 6x^(2)+axy+y^(2)=0 exceeds t...

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  12. If the slope of one of the lines represented by ax^(2)+(3a+1)xy+3y^(2)...

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  13. If pairs of opposite sides of a quadrilateral are x^(2)-7x+6=0 and y^(...

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  14. The equation of a line bisecting the join of (2010, 1600) and (-1340, ...

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  15. Let the coordinates of P be (x, y) and of Q be (alpha, beta) where alp...

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  16. Image of the point (-1, 3) with respect to the line y = 2x is

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  18. Perimeter of the quadrilateral bounded by the coordinate axis and the ...

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