...equal to the latus rectum. Ex. 879. Given a parabola, to find the directrix, axis, and focus. Ex. 880. To find the locus of the centre of a circle which...through a given point and touches a given straight line. Ex. 881. Given the axis, a tangent, and the point of contact, to find the focus and directrix. Ex....

...equal to the latus rectum. Ex. 879. Given a parabola, to find the directrix, axis, and focus. Ex. 880. To find the locus of the centre of a circle which passes through a siven point and touches a given straight line. Ex. 881. Given the axis, a tangent, and the point of...

...an angle в. Show that if в = 90°, the results reduce to those obtained in problems 1 and 2. 22. Find the locus of the centre of a circle which passes through a fixed point and touches a given line. 23. A straight line, whose length is c, slides between two perpendicular...

...to AB, one on one side of AB, the other on the other side, at the distance r from AB. QEF Ex. 152. Find the locus of the centre of a circle which passes through two given points P and Q. The locus is the 'L bisector of the line joining the given points. § 248...

...of a circumference with a given radius tangent externally or internally to a given circumference. 9. Find the locus of the centre of a circle which passes through two given points. Ans. A perpendicular at the middle point of a line joining these points. 10. Find...

...equal to the latus rectum. Ex. 879. Given a parabola, to find the directrix, axis, and focus. Ex. 880. To find the locus of the centre of a circle which...through a given point and touches a given straight line. Ex. 881. Given the axis, a tangent, and the point of contact, to find the focus and directrix. Ex....

...definition of the circle that the tangent at any point is perpendicular to the radius. Show how to construct a circle which passes through a given point, and touches a given straight line at a given point. 16. The perpendicular from the centre of a circle on any chord of the circle bisects...

...equal to the latus rectum. Ex. 879. Given a parabola, to find the directrix, axis, and focus. Ex. 880. To find the locus of the centre of a circle which...through a given point and touches a given straight line. Ex. 881. Given the axis, a tangent, and the point of contact, to find the focus and directrix. Ex....

...circle which touches two given circles is a conic having the centres of the circles as foci. Ex. 4. The locus of the centre of a circle which passes through a fixed point and touches a fixed line is a parabola of which the point is the focus. Ex. 5. Confocal...

...an ellipse when c is negative, and an hyperbola when c is positive. 16. Find the locus of the center of a circle which passes through a given point and touches a given line. 17. Prove that the locus of the center of a circle which touches two given circles, of which...