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IN a circle more than two tangents can b...

IN a circle more than two tangents can be drawn which are parallel to a fixed straight lines.

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Fill in the blanks (i) A tangent to a circle touches it in …... Point (s). (ii) A line intersecting a circle in two points is called a ….. (iii) Number of tangents can be drawn to a circle parallel to the given tangent is …. (iv) The common point of a Tangent to a circle and the circle is called ..... (v) We can draw ..... tangents to a given circle. (vi) A circle can have ..... parallel tangents at the most.

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0

Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30 , which are parallel to the straight line x + y + 18 = 0.

If a triangle is inscribed in an ellipse and two of its sides are parallel to the given straight lines, then prove that the third side touches the fixed ellipse.

Only three tangents can be drawn from a external point of a circle.

Find the equation of the tangent to the ellipse 2x^(2)+3y^(2)=30 , which are parallel to the straight line x+y+18=0

Prove that the internal angle between two tangents drawn from an external point is bisected by the straight line obtained by joining that point and the centre of the circle.

Write True or False: Two tangents can be drawn from any external point to a circle.

Prove that form any external point two tangents can be drawn to circle.

CALCUTTA BOOK HOUSE-THEOREMS RELATED TO TANGENT IN A CIRCLE -EXERCISE 4.2
  1. IN a circle more than two tangents can be drawn which are parallel to ...

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  2. The distance of the point from the centre of a circle with diameter of...

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  3. Two circles touch each other at the point R. PQ is a common tangent to...

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  4. Two tangents drawn at the point A and B on a circle intersect each oth...

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  5. The centre of a circle with radius of 6 cm is O. The length of the tan...

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  6. If the radius of a circle be zero, then the circle is called a point ...

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  7. Only three tangents can be drawn from a external point of a circle.

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  8. The tangent to a circle and the radius passing through the point of co...

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  9. The number of direct common tangents to two intersecting circles is ""

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  10. The straight line PAB intersects the circle with centre O at the point...

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  11. Two circles touch each other internally. The radius of the larger circ...

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  12. Two circles touch each other externally. The distance between two cent...

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  13. The radius of a circle with centre O is 5 cm. The length of the tangen...

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  14. AB is a diameter of the circle with centre O. The tangent, drawn at a ...

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  15. Prove that form any external point two tangents can be drawn to circle...

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  16. Two tangents are drawn from an external point A of the circle with cen...

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  17. Prove that the internal bisector of the angle between two tangents dra...

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  18. Prove that the internal angle between two tangents drawn from an exter...

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  19. The incircle of Delta ABC touches the sides AB, BC and CA of the trian...

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  20. If the quadrilateral ABCD circumscribed about the circle , then prove ...

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  21. Puja has drawn a circle wit centre of O of which AB is a diameter. Two...

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