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The equation 4x^(2)-24xy+11y^(2)=0 repre...

The equation `4x^(2)-24xy+11y^(2)=0` represents

A

two parallel lines

B

two perpendicular lines

C

two lines through the origin

D

a circle

Text Solution

Verified by Experts

The correct Answer is:
C
On comparing the given equation with `ax^(2)+2hxy+by^(2)=0`, we get
`a=4, h=-12 and b=11`
Clearly, `y^(2)-ab=144-44=100 gt 0`
So, the given equation represents two lines through the origin.
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OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Section I - Solved Mcqs
  1. Find the angle between the straight lines joining the origin to the ...

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  2. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

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  3. If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on Y-axis , ...

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  4. about to only mathematics

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

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  6. The equation of the image of the pair of rays y=|x| in the line mirror...

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  7. Two lines represented by the equation.x^2-y^2-2x+1=0 are rotated about...

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  8. The value of lambda for which the lines joining the point of intersect...

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

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  10. If the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have ex...

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  11. If one of the lines given by 6x^(2) - xy + 4cy^(2) =0 is 3x + 4y =0...

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

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  13. If the pair of lines ax^2+2hxy+by^2= 0 (h^2 > ab) forms an equilateral...

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  14. The area (in square units ) of the quadrilateral formed by two pairs o...

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  15. The equation 4x^(2)-24xy+11y^(2)=0 represents

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  16. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie long diameters of a circ...

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

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  18. If theta1 and theta2 are the angles made by the lines (x^2 +y^2)(cos...

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  19. If the product of the perpendiculars drawn from the point (1,1) on the...

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  20. If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair ...

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