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A variable plane moves in such a way tha...

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the three coordinate axes is constant. Show that the plane passes through a fixed point.

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. Let A (3, 2) and B (5,1). ABP is an equilateral triangle is constructe...

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  2. In a triangle, ABC, the equation of the perpendicular bisector of AC i...

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  3. A variable plane moves in such a way that the sum of the reciprocals o...

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  4. A straight line moves such that the algebraic sum of the perpendicular...

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  5. Let A B C be a given isosceles triangle with A B=A C . Sides A Ba n dA...

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  6. A straight line moves in such a way that the length of the perpendicul...

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  7. which Find the locus of the mid-point of the portion of the line x cos...

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  8. Find the equation of the line which cuts off equal and positive int...

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  9. A straight line segment of length/moves with its ends on two mutually ...

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  10. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

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  11. A variable straight line passes through the points of intersection of ...

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  12. A variable straight line is drawn through the point of intersection of...

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  13. P is the point (-1,2), a variable line through P cuts the x & y axes a...

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  14. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

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  15. A point P\' move along the y-axis. Another point Q moves so that the f...

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  16. Locus of the middle point of the intercept on the line y = x + c ma...

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  17. Two points Pa n dQ are given. R is a variable point on one side of ...

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  18. Let L1=0a n dL2=0 be two fixed lines. A variable line is drawn through...

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  19. A variable straight line passes through a fixed point (h,k). Find the ...

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  20. A straight lien is drawn from a fixed point O metting a fixed straight...

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