Course Description

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Q.1
Find the equation of tangent P? [3]
Q.2
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In the given figure the equation of circle is given as x2 + y2 = 41.
The tangent T is at point (4,5).
Find the equation of tangent which is parallel to the tangent T.
Q.3
In the given figure a square made of 4 straight lines is given. The equation of line P is given as y = 5x – 3 and is tangent at point (1,2). The equation of circle is x2 + y2 = 5. Then,
(i) Find the equation of line Q. [3]
(ii) Find the equation of line line R. [3]
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(iii) Find the common intersecting point of line Q and R.
Q.4
In the given figure, a circle is given with equation x2 + y2 = 85 is given. A circle L is tangent to this circle at point (2,p).
(i) Find the value of p. [2]
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(ii) Find the equation of tangent L. [3]
(iii) Coordinates of point when L crosses x – axis. [1]
Q.5
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In the figure given above.
Equation of circle is given as x2 + y2 = 29.
Tangent AB is at (2,5) and BC is at (2, -5).
(i) Find the equation of tangent AB and BC. [3]
(ii) Find the coordinates of B. [2]
(ii) Find the area of shaded portion.
Q.6
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Area of given minor sector AOB is 24π. If the center is at origin.
(i) Find the equation the circle. [2]
(ii) Find the equation of tangent at A. [5]
Q.7
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Given Area of triangle OAB is 12.5 cm2 and centre is at origin.
(i) Find the equation of the circle. [2]
(ii) Find the equation of tangent at B. [3]
(iii) Find the area of the shaded region. [3]
Q.8 In the given figure a tangent at point C has coordinates (3,P). If coordinates of A is (0, 34/5) and B is (34/3,0) and centre of circle is at (0,0). Then,
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(i) Find the equation of the circle.
(ii) Find the equation of tangent at C.