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Find the number of integral values of la...

Find the number of integral values of `lambda` for which `x^2+y^2+lambdax+(1-lambda)y+5=0` is the equation of a circle whose radius does not exceed 5.

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RD SHARMA ENGLISH-THE CIRCLE-All Questions
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  4. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  5. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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  6. Write the equation of the circle passing through (3,4) and touching ...

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  7. If the line y=m x does not intersect the circle (x+10)^2+(y+10)^2=180 ...

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  8. Write the coordinates of the center of the circle inscribed in the s...

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  9. The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of s...

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  10. If the equation (4a-3)x^2+a y^2+6x-2y+2=0 represents a circle, then it...

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  11. The equation of the circle passing through the point (1,1) and having ...

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  12. If the centroid of an equilateral triangle is (1,1) and its one vertex...

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  13. The equation of the incircle of the triangle formed by the axes and th...

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  14. The equation of a circle with radius 5 and touching both the coordinat...

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  15. The equation of the circle passing through the origin which cuts of ...

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  16. The area of an equilateral triangle inscribed in the circle x^2+y^2-6x...

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  17. If the circles x^2+y^2=a\ a n d\ x^2+y^2-6x-8y+9=0 touch externally th...

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  18. If (x ,3)a n d\ (3,5) are the extremities of a diameter of a circle wi...

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  19. Equation of the diameter of the circle x^2+y^2-2x+4y=0 which passes th...

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  20. Equation of the circle through origin which cuts intercepts of length ...

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