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Consider two circles x^2+y^2-4x-6y-8=0 a...

Consider two circles `x^2+y^2-4x-6y-8=0` and `x^2+y^2-2x-3=0` Statement 1 : Both the circles intersect each other at two distinct points. Statement 2 : The sum of radii of the two circles is greater than the distance between their centers. (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

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Statement 1: The number of positive integral solutions of a b c=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 3^3 (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

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Statement 1 : The number of circles passing through (1, 2), (4, 8) and (0, 0) is one. Statement 2 : Every triangle has one circumcircle (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

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  2. If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then t...

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  3. Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1...

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  4. Statement-1: The point (sin alpha, cos alpha) does not lie outside the...

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  5. The equation of the circle which touches the axes of coordinates and ...

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  6. The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from t...

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  7. Statement 1 : Two orthogonal circles intersect to generate a common ...

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  8. Two circles C1a n dC2 both pass through the points A(1,2)a n dE(2,1) a...

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  9. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

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  10. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

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  11. Difference in the values of the radius of a circle whose center is at ...

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  12. A triangle is inscribed in a circle of radius 1. The distance between ...

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  13. Find the equation of the circle whose radius is 5 and which touches th...

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  14. Let 2 x^2 + y^2 - 3xy = 0 be the equation of pair of tangents drawn fr...

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  15. Find the equation of a circle which passes through the point (2,0) a...

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  16. Let C1 be the circle with center O1(0,0) and radius 1 and C2 be the ci...

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  17. C1 is a circle of radius 1 touching the x- and the y-axis. C2 is anoth...

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  18. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

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  19. State whether the statement is True or False: The line x+3y=0 is a dia...

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  20. Prove That : No tangent can be drawn from the point (5/2,1) to the cir...

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