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The point P is the foot of the perpendic...

The point P is the foot of the perpendicular from A(0, t) to the line whose equation is `y=tx`. Determine
the co-ordinates of P

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The correct Answer is:
`P((t^(2))/(1+t^(2)),(t^(3))/(1+t^(2)))`
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ICSE-THE STRAIGHT LINE -EXERCISE 16 (b)
  1. Find the equation to the straight line passing through the point (4...

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  2. Find the equation to the line which is perpendicular to the line x/(a)...

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  3. Find the equation of the two lines throgh the point (4, 5) which make ...

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  4. The line through A(4, 7) with gradient m meets the x-axis at P and the...

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  5. Write down the slopes of the lines joining P(1, 1) and Q(2, 3)

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  6. Write down the slopes of the lines joining L(-p, q) and M(r, s)

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  7. Write down the slopes of the lines parallel to the line joining A(-1,...

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  8. Write down the slope of the line perpendicular to the line joining ...

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  9. Find the equations of the lines joining the points (i) A(1, 1) and ...

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  10. Given the vertices A(10, 4), B(-4, 9) and C(-2, -1) of DeltaABC, find ...

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  11. Given the vertices A(10, 4), B(-4, 9) and C(-2, -1) of DeltaABC, find ...

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  12. Given the vertices A(10, 4), B(-4, 9) and C(-2, -1) of DeltaABC, find ...

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  13. Given the vertices A(10, 4), B(-4, 9) and C(-2, -1) of DeltaABC, find ...

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  14. The points A, B and C are (4, 0), (2, 2) and (0, 6) respectively. AB p...

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  15. A line through the point (3, 0) meets the variable line y=tx at right ...

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  16. The point P is the foot of the perpendicular from A(0, t) to the line ...

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  17. The point P is the foot of the perpendicular from A(0, t) to the line ...

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  18. The point P is the foot of the perpendicular from A(0, t) to the line ...

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  19. Find the equation of line joining the origin to the point of intersect...

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  20. Find the equation of the straight line which passes through the point...

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