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A(1/(sqrt(2)),1/(sqrt(2))) is a point on...

`A(1/(sqrt(2)),1/(sqrt(2)))` is a point on the circle `x^2+y^2=1` and `B` is another point on the circle such that arc length `A B=pi/2` units. Then, the coordinates of `B` can be (a) `(1/(sqrt(2)),-1/sqrt(2))` (b) `(-1/(sqrt(2)),1/sqrt(2))` (c) `(-1/(sqrt(2)),-1/(sqrt(2)))` (d) none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Consider a family of circles passing through the points (3, 7) and (6,...

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  2. Let xa n dy be real variables satisfying x^2+y^2+8x-10 y-40=0 . Let a=...

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  3. A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is...

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  4. Tangent drawn from the point (a ,3) to the circle 2x^2+2y^2=25 will be...

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  5. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

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  6. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

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  7. Let A B C be a triangle right-angled at Aa n dS be its circumcircle. L...

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  8. ABCD is a rectangle. A circle passing through vertex C touches the sid...

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  9. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

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  10. Find the equation of the circle of minimum radius which contains the t...

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  11. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  12. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

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  13. The equation of the line passing through the points of intersection of...

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  14. The locus of the mid-point of the chord of contact of tangents drawn f...

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  15. If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the ...

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  16. Find the locus of the midpoints of the portion of the normal to the pa...

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  17. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

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  18. M is the foot of the perpendicular from a point P on a parabola y^2=4a...

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  19. Find the locus of the middle points of chords of a parabola y^(2)=4ax ...

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  20. A quadrilateral is inscribed in a parabola y^2=4a x and three of its s...

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