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Find the locus of the middle points of e...

Find the locus of the middle points of equal chords of a circle.

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Find the locus of the middle points of the parallel chords of a circle.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the mid-point of the chords of the circle x^2 +y^2=16 , which are tangent to the hyperbola 9x^2-16y^2= 144 .

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of (2pi)/3 at its center is

The equation of the locus of the mid-points of chords of the circle 4x^(2) + 4y^(2) -12x + 4y + 1 = 0 that substend an angle (2pi)/(3) at its centre, is

The locus of the middle points of normal chords of the parabola y^2 = 4ax is-

If a hyperbola be rectangular, and its equation be xy = c^2, prove that the locus of the middle points of chords of constant length 2d is (x^2+y^2)(xy-c^2)=d^2 xy.

The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-12=0 which subtend an angle of pi/3 radians at its circumference is:

Show that the locus of the middle points of chord of an ellipse which paas through a fixed point, is another ellipse

Prove that the locus of the middle-points of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which pass through a fixed point (alpha, beta) is a hyperbola whose centre is ((alpha)/(2), (beta)/(2)) .

MBD-Circles-Exercise
  1. If two equal chords intersect each other, then the bisector of the ang...

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  2. Draw less than ogive curve.

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  3. Find the locus of the middle points of equal chords of a circle.

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  4. Find the locus of the middle points of the parallel chords of a circle...

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  5. What is the value of sina . .

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  6. Prove that a diameter of a circle which bisects a chord of the circle,...

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  7. Factorise the Following x^2+8x+16

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  8. In a circle of radius 5 cm, AB and AC are two chords, such that AB = A...

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  9. In a circle of radius 20 cm, AB and AC are two chords such that AB = A...

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  10. If the angles subtended by the chords of a circle at the centre of the...

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  11. Factorise the following x^2-7x+12

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  12. Prove that angle in a semi-circle is right angle.

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  13. If a line segment joining two points subtends equal angles at two othe...

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  14. A chord of a circle is equal to the radius of the circle. Find the ang...

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  15. In fig. , A, B, C, D are four points on a circle. AC and BD intersect...

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  16. ABCD is a cyclic quadrilateral whose diagonals intersect at a point E....

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  17. If diagonals of a cyclic quadrilateral are diameters of the circle thr...

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  18. If the non-parallel sides of a trapezium are equal, prove that it is c...

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  19. Identify (a),(b) and (c)

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  20. If circles are drawn taking two sides of a triangle as diameters, prov...

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