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A person standing at the junction (cross...

A person standing at the junction (crossing) of two straight paths represented by the equations : 2x -3y -4 =0 and 3x + 4y -5 = 0, wants to reach the path whose equation is 6x - 7y + 8 = 0 in the least time. Find the equation of the path that he should follow.

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A person standing at the junction (crossing) of two straight paths represented by the equations 2x -3y + 4 = 0 and 3x + 4y -5 = 0 wants to reach the path whose equation is 6x -7y + 8 = 0 in the least time. Find equation of the path that he should follow.

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Find the equations of the line through the intersection of 2x - 3y + 4 = 0 and 3x + 4y - 5= 0 and perpendicular to 6x-7y +c = 0

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Find the equation of the straight line passing through the intersection of : x +2y-3=0 and 3x+ 4y-7=0 and perpendicular to x + 3y+4=0.

Find the equation passing throught the intersection of the planes : 2x-7y+4z=3 and 3x-5y+4z+11=0 and the point (-2,1,3).

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The hypotenuse of a right triangle has its ends at the points (1, 3) a...

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  2. A ray of light passes through the point (1, 2) reflects on the x-axis ...

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  3. A person standing at the junction (crossing) of two straight paths rep...

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  4. Let (2, 1), (- 3, -2) and (a, b) form a triangle. Show that the collec...

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  5. Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 + ...

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  6. Prove that the centres of the three circles : x^2 + y^2 -4x-6y-14=0, x...

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  7. Prove that, through three given points which are not collinear, there ...

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  8. Find equations to the circles touching Y-axis at (0,3) and making inte...

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  9. Find the area of the equilateral triangle that can be inscribed in the...

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  10. Find the equation of the circle circumscribing the quadrilateral forme...

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  11. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

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  12. If the distances from the origin to the centres of the three circles x...

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  13. Determine the equation of the circle whose diameter is the chord x + y...

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  14. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

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  15. Find the equation of the circle, which passes through the origin and c...

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  16. Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola who...

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  17. A double ordinate of the parabola y^2=4ax is of length 8a. Prove that ...

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  18. Prove that the equation of the parabola whose vertex and focus are on ...

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  19. Find the focus of the parabola x^2=4y

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  20. Show that the locus of the middle points of normal chords of the parab...

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