Question
Find the equation of the ellipse having minor axis of length 1 and foci (0,1), (0,-1). Also find its latus rectum.
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Question 1
Let be the circle in the -plane defined by the equation (For Ques. No 15 and 16)Let be a point on the circle with both coordinates being positive. Let the tangent to at intersect the coordinate axes at the points and . Then, the mid-point of the line segment must lie on the curve(b) (c) (d) Question 2
For how many values, of p, the circle and the coordinate axes have exactly three common points?Question 3
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 Text | Find the equation of the ellipse having minor axis of length 1 and foci (0,1), (0,-1). Also find its latus rectum. |