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Prove that the equation 2x^2+5x y+3y^2+6...

Prove that the equation `2x^2+5x y+3y^2+6x+7y+4=0` represents a pair of straight lines. Find the coordinates of their point of intersection and also the angle between them.

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

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

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  3. Prove that the equation 2x^2+5x y+3y^2+6x+7y+4=0 represents a pair of ...

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  4. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

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  5. Show that straight lines (A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0 form wi...

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  6. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

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  7. If the middle points of the sides B C ,C A , and A B of triangle A B C...

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  8. Find the equations of the lines which pass through the origin and are ...

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  9. If (-2,6) is the image of the point (4,2) with respect to line L=0, th...

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  10. If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find...

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  11. Find the equation of the right bisector of the line segment joining...

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  12. If the coordinates of the points A, B, C and D be (a, b), (a', b'), (...

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  13. If the coordinates of the vertices of triangle A B C are (-1,6),(-3,-9...

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  14. Find the equation of the line perpendicular to the line x/a-y/b=1 and ...

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  15. Find the area bounded by the curves x+2|y|=1 and x=0 .

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  16. Find the equation of the straight line passing through the intersectio...

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  17. Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0a n d2x-...

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  18. If the point P(a ,a^2) lies completely inside the triangle formed by ...

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  19. If the point (a ,a) is placed in between the lines |x+y|=4, then find ...

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  20. Find the set of positive values of b for which the origin and the poin...

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