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Find the condition that two of the three...

Find the condition that two of the three lines represented by `ax^3+bx^2y+cxy^2+dy^3=0` may be at right angle.

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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0...

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  2. Given n straight line and a fixed point O, a straight line is drawn th...

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  3. Find the condition that two of the three lines represented by ax^3+bx^...

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  4. If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of para...

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  5. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

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  6. prove that the product of the perpendiculars drawn from the point (x1,...

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  7. The orthocentre of a triangle whose vertices are (0,0),(sqrt3,0) and (...

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  8. The image of the point (3,8) with respect to the line x+3y=7 is

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  9. The equations of the lines representing the sides of a triangle are 3x...

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  10. The point (4,1) undergoes the following three transformations successi...

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  11. A is (a,0) and B is (-a,0). If P is a point such that anglePAB - angle...

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  12. The points (-a,-b).(0,0),(a,b) and (a^2, ab) are

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  13. The medians AD and BE of a triangle ABC with vertices A(0, b), B(0, 0)...

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  14. The vertices of a rhombus taken in order are (2,-1), (3,4), (-2,3), th...

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  15. The coordinates of the point P on the lines 2x+3y+1=0, such that |PA-P...

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  16. One vertex of the equilateral triangle with centroid at the origin and...

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  17. If t1, t2 and t3 are distinct, the points (t1, 2at1+at1^3), (t2,2at2+a...

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  18. If (-6,-4), (3,5),(-2,1) are the vertices of a parallelogram, then rem...

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  19. A line passing through the point P(4,2) meets the x and y-axis at A an...

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  20. If P-=(1,0), Q-=(-1, 0), R-=(2,0) are three given points, then the loc...

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