P is a point on the hyperbola 1, N is the foot of the perpendicular from P on the transver axis. The tangent to the hyperbola at P meets the transver axis at T. If O is the center of the hyperbola, then find th value of OT × ON.

Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

A:

Q: Find the equation for the parabola that has its focus at the (- 5 4 For the toolbar, press ALT+F10…

A: Given:The focus of the parabola is located at .The directrix is a vertical line with the equation…

Q: Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity…

A:

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

A:

Q: The line through the two foci that also intersects a hyperbola at its two vertices is known as the…

A:

Q: On which curve does the perpendicular tangents drawn to the 1² hyperbola - 25 16 - 1 intersect?

A:

Q: State whether the equation x² + ()² + 6z² = 1 defines O a hyperboloid of two sheets. O a paraboloid…

A:

Q: State whether the equation y = 7x² defines

A: is an equation of parabola      Since there is no term , we will extend this parabola to…

Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given-  Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: 10. Two corners of auxiliary rectangle at (-4,-7) and (0,0), vertical transverse axis

A: The diagram of the hyperbola having given conditions is shown below. Calculate the center of the…

Q: Let X = {a, b, c, d} and TX = {ø, X, {b}, %3D {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3,…

A: A function is continuous if and only if inverse image of every open set is open

Q: Find an equation of the hyperbola having foci at (2, -2) and (10, −2) and vertices at (5,-2) and (7,…

A:

Q: variable circle through the origin and touching the hyperbola xy = c

A:

Q: Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given by the…

A: we will use symmetry of given figure about y-axis and condition of quadratic equation to find…

Q: The directrix parabola of X2=16y

A: Given parabola is x2=16y Plot the parabola:

Q: Find the equation of a hyperbola whose center is at (0,0), conjugate axis on the x-axis one focus at…

A: A hyperbola whose center is at (0,0), conjugate axis on the x-axis one focus at 0,13 and one…