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The combined equation of the pair of str...

The combined equation of the pair of straight lines passing through the point of intersection of the pair of lines
` x^2 + 4xy + 3y^2 - 4x - 10y + 3 = 0` and having slopes `1/2` and `- 1/3` is

A

`x^2 - y^2 - 8x - 2y + 15 = 0`

B

`x^2 + 7xy + 12y^2 - x - 4y = 0`

C

`x^2 + 7xy + 10y^2 - x - 8y - 2 = 0`

D

`x^2 + xy - 6y^2 - 7x - 16y + 6 = 0`

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The correct Answer is:
D
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TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER (2018)-MATHEMATICS
  1. If P1, P2, P3 ,………, Pn are n points on the line y = x all lying in the...

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  2. The straight line x + y + 1 = 0 bisects an angle between the pair of l...

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  3. The combined equation of the pair of straight lines passing through th...

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  4. If a circle C(1),x^(2)+y^(2)=16 intersects another circle C(2) of radi...

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  5. The equation of the circle which touches the circle x^2 + y^2 - 6x + 6...

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  6. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Suppose that...

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  7. Let x - 4 = 0 be the radical axis of two circles which are intersecti...

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  8. The length of common chord of the circles x^2 + y^2 - 6x - 4y + 13 ...

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  9. If P is (3, 1) and Q is a point on the curve y^2 = 8x , then the locus...

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  10. Let P(2,4), Q(18, -12) be the points on the parabola y^2 = 8x . The eq...

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  11. Let A be a vertex of the ellipse S = (x^2)/(4) + (y^2)/(9) - 1 = 0 and...

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  12. Tangents are drawn to the ellipse (x^2)/(25) + (y^2)/(16) = 1 at all...

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  13. The lines of the form xcos phi + ysin phi =P are chords of the hyperb...

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  14. Let A(3, 2, - 4) and B(9, 8, -10) be two points. Let P1 divide AB in t...

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  15. If the direction cosines of the two lines satisfy the equations l + m ...

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  16. If the equation of the plane passing through the point (2,-1, 3) and p...

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  17. lim(xto a) (sqrt(a + 2x) - sqrt(3a))/(sqrtx - sqrta)

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  18. If a function f(x) defined by is continous on R, then (a , b) =

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  19. The derivative of y = (sin x)^(x^2) with respect to x is

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  20. If y = ((x + 1)^2 sqrt(x - 1) )/((x + 4)^3 e^x) , then (dy)/(dx) =

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