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If the normal at any point P on the ellipse meets the axes at G and g, respectively, then find the ratio PG :Pg
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Consider two straight lines, each of which is tangent to both the circle and the parabola . Let these lines intersect at the point . Consider the ellipse whose center is at the origin and whose semi-major axis is . If the length of the minor axis of this ellipse is , then which of the following statement(s) is (are) TRUE?For the ellipse, the eccentricity is and the length of the latus rectum is 1(b) For the ellipse, the eccentricity is and the length of the latus rectum is (c) The area of the region bounded by the ellipse between the lines and is (d) The area of the region bounded by the ellipse between the lines and is Question 4
Let be the line passing through the points and . Let be the set of all pairs of circles such that is tangent to at and tangent to at , and also such that and touch each other at a point, say, . Let be the set representing the locus of as the pair varies in . Let the set of all straight lines segments joining a pair of distinct points of and passing through the point be . Let be the set of the mid-points of the line segments in the set . Then, which of the following statement(s) is (are) TRUE?The point lies in (b) The point does NOT lie in (c) The point lies in (d) The point does NOT lie in 
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| Question Text | If the normal at any point P on the ellipse meets the axes at G and g, respectively, then find the ratio PG :Pg |
