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Prove that the locus of the point that m...

Prove that the locus of the point that moves such that the sum of the squares of its distances from the three vertices of a triangle is constant is a circle.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

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  3. Prove that the locus of the point that moves such that the sum of the ...

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  4. The number of integral values of lambda for which the equation x^2+y^2...

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  6. Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthes...

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  7. If the line xcostheta+ysintheta=2 is the equation of a transverse comm...

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  8. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

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  9. Statement 1 : The equation of chord through the point (-2,4) which is ...

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  10. intdx/(x(x^5 + 1))

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  11. Statement 1 : If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g^(prime)x...

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  12. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

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  13. Statement 1 : If the circle with center P(t ,4-2t),t in R , cut the c...

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  14. Find the area of the region in which the points satisfy the inequaties...

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  15. If points A and B are (1, 0) and (0, 1), respectively, and point C is ...

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  16. If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...

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  17. Column I|Column II If the circle lies in the first quadrant, the...

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  18. Find the number of point (x ,y) having integral coordinates satisfying...

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