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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. A circle passes through the points A(1,0) and B(5,0), and touches the ...

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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 equation of four circles are (x+-a)^2+(y+-a)^2=a^2 . The radius of...

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  5. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

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  6. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

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  7. If (alpha,beta) is a point on the circle whose center is on the x-axi...

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  8. The area of the triangle formed by joining the origin to the points of...

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  9. A circle with center (a , b) passes through the origin. The equation...

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  10. A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4...

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  11. If the circles x^2+y^2-9=0 and x^2+y^2+2alphax+2y+1=0 touch each other...

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  12. The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2...

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  13. Which of the following lines have the intercepts of equal lengths on t...

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  14. If a circle passes through the point of intersection of the lines x+ y...

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  15. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

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  16. The equation of the line(s) parallel to x-2y=1 which touch(es) the ci...

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  17. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

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  18. The range of value of 'a' such that angle theta between the pair of ta...

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  19. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

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  20. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

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