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The base AB of a triangle is fixed and i...

The base AB of a triangle is fixed and its vertex C moves such that sin A =k sin B `(kne1)`. Show that the locus of C is a circle whose centre lies on the line AB and whose radius is equal to `(ak)/((1-k^2))`, a being the length of the base AB.

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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
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  3. The base AB of a triangle is fixed and its vertex C moves such that si...

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  4. Consider a curve ax^2 + 2hxy + by^2-1=0 and a point P not on the curve...

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  5. Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11...

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  6. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  7. If P and Q are the points of intersection of the circles x^2+""y^2+...

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  8. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  9. The circle passing through the point (-1,0) and touching the y-axis at...

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  10. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

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  11. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  12. The locus of the middle point of the chord of contact of tangents draw...

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  13. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  14. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  15. The length of the diameter of the circle which touches the x-axis at ...

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  16. The circle passing through (1, -2) and touching the axis of x at (3...

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  17. Circle(s) touching x-axis at a distance 3 from the origin and having a...

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  18. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

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  19. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  20. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

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