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Let S be the focus of the parabola and let PQ be the common chord of the circle and the given parabola. The area of the triangle PQS is -
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Question 1
The centres of two circles C1 and each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segment joining the centres of C1\displaystyle{\quad\text{and}\quad}{C}{2}{\quad\text{and}\quad}{C}{b}{e}{a}\circ\le\to{u}\chi{n}{g}\circ\le{s}{C}{1}{\quad\text{and}\quad}{C}{2}{e}{x}{t}{e}{r}{n}{a}{l}{l}{y}.{I}{f}{a}{c}{o}{m}{m}{o}{n}{\tan{\ge}}{n}{t}\to{C}{1}{\quad\text{and}\quad}{C}{p}{a}{s}{\sin{{g}}}{t}{h}{r}{o}{u}{g}{h}{P}{i}{s}{a}{l}{s}{o}{a}{c}{o}{m}{m}{o}{n}{\tan{\ge}}{n}{t}\to{C}{2}{\quad\text{and}\quad}{C},{t}{h}{e}{n}{t}{h}{e}{r}{a}{d}{i}{u}{s}{o}{f}{t}{h}{e}\circ\le{C}{i}{s}Question 2
A circle of radius r passes through origin and cut the y-axis at and . The locus of foot of perpendicular drawn from origin upon line joining the points and is (A) (B) (C) (D) Question 3
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 
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| Question Text | Let S be the focus of the parabola and let PQ be the common chord of the circle and the given parabola. The area of the triangle PQS is - |
| Answer Type | Video solution: 1 |
| Upvotes | 150 |
