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If the pair of lines ax^(2)+2pxy-ay^(2)=...

If the pair of lines `ax^(2)+2pxy-ay^(2)=0, bx^(2)+2qxy-by^(2)=0` are such that each pair bisects the angle between the other pair, then show that `ab+pq=0`

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AAKASH SERIES-PAIR OF STRAIGHT LINES-ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. If the pair of lines ax^(2)+2pxy-ay^(2)=0, bx^(2)+2qxy-by^(2)=0 are su...

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  2. Show that the straight lines (A^2-3B^2)x^2+ 8ABxy + (B^2-3A^2)y^2 = 0 ...

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  3. Show that if two of the lines ax^3 + bx^2y + cxy^2 + dy^3 = 0" "(a ...

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  4. Show that the condition that two of the three lines represented by ax^...

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

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  6. Prove that the triangle formed by the lines ax^(2)+2hxy+by^(2)=0 and l...

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  7. If the equation 2hxy + 2gx + 2fy + c = 0 represents two straight lines...

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  8. A parallelogram is formed by the lines ax^2 + 2xy + by^2 = 0 and the l...

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  9. Show that the area of parallelogram formed, by the pairs of lines ax^2...

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  10. Show that the equation to the pair of lines passing through the origin...

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  11. If two sides of a triangle lie along 3x^2 - 5xy + 2y^2 = 0 and its ort...

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  12. From a point (2, 0) the feet of perpendiculars to the lines of the pai...

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  13. From a point (2, 0) the feet of perpendiculars to the lines of the pai...

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  14. If a line through A(1, 0) meets the lines of the pair 2x^2 - xy = 0 at...

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  15. A circle in first quadrant has a pair of tangents having equation 2xy ...

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  16. Given A(0, 0) and B(x, y) with x in (0, 1) and y gt 0. Let the slope o...

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