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Find the area of the triangle formed b...

Find the area of the triangle formed
by the tangent at `P(x_(1), y_(1))` to the circle
`x^(2) +y^(2) = a^(2)` with co-ordinate axes
where `x-(1) y_(1) ne 0`.

Text Solution

Verified by Experts

The correct Answer is:
` (a^(4))/(2|x_1y_1|) `
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AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. Find the equation of the normal at P of the circle S = 0 where P a...

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  2. Find the equation of the tangent and normal at (1, 1) to the circle...

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  3. Find the area of the triangle formed by the tangent at P(x(1), y(1))...

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  4. Find the area of the triangle formed by the normal at (3,-4) to the ...

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  5. Find the length of the chord intercepted by the circle x^(2) + y^(2)...

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  6. Find the length of the chord intercepted by the circle x^(2) + y^(2)...

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  7. Fins the length of the cord formed by x^(2) + y^(2) = a^(2) on the...

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  8. If y = mx + c and x^(2) + y^(2) = a^(2) intersect at A and B and if ...

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  9. Find the equation of the circle with centre (-2, 3) cutting a chord le...

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  10. Find the equation of tangents of the circle x^(2) + y^(2)-10 = 0 at ...

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  11. Find the equation of the circle passing through (0,0) and making int...

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  12. (i) Find the equation of the circle passing through (0,0) and making i...

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  13. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

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  14. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

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  15. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

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  16. find the equation of the tajngents ot the circle x^(2) + y^(2) - 4x ...

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  17. Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the ...

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  18. Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the ...

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  19. Find the equation of the circle with centre (-3, 4) and touching y-...

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  20. Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(...

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