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Find the equation of the tangenet to each circle at the point specified, Circle `x^2+y^2+4x+2y-20=0` , point (1,3)

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To find the equation of the tangent to the circle given by the equation \(x^2 + y^2 + 4x + 2y - 20 = 0\) at the point (1, 3), we will follow these steps: ### Step 1: Rewrite the Circle Equation We can rewrite the circle equation in standard form by completing the square. 1. Start with the original equation: \[ x^2 + y^2 + 4x + 2y - 20 = 0 ...
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MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF TWO DIMENSIONS (CONIC SECTION)-QUESTION BANK
  1. Find the centre and radius of the circles2x^2+2y^2-x=0

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  2. Find the equation of the tangenet to each circle at the point specifi...

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  3. Find the equation of the tangenet to each circle at the point specifi...

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  4. Find the equation of the tangenet to each circle at the point specifi...

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  5. Find the equation of the circle passing through the points (4, 1) and...

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  6. Find the equation of the circle passing through the points (2," "3) an...

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  7. Find the equation of the circle with radius 5 whose centre lies on ...

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

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  9. Find the equation of a circle with centre (2, 2) and passes through...

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  10. Does the point (-2,4) lie inside . Outside or on the circle x^2+y^2=25

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  11. The square of the length of tangent from (3, –4) on the circle x^(2) +...

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  12. If the circles x^2+y^2+2x-8y+8=0 and x^2+y^2+10x-2y+22=0 touch each ot...

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  13. If the lines 2x-3y+1=0 and 3x+y-4=0 lie along diameters of a circle of...

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  14. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  15. The equation of the circle passing through the point (1,0) and (0,1) a...

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  16. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  17. Find the number of common tangents to the circles x^2+y^2=4 and x^2+y^...

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  18. Find the points of intersection of the line y=2x+1 and the circle x^2+...

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  19. Find the points of intersection of the line x+y=3 and the circle x^2+y...

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  20. Find the points where the circle x^2+y^2-10x-10y+40=0 and the line y+...

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