# The tangent of the hyperbola

Write the equation of the tangent of the hyperbola 9x

^{2}−4y^{2}=36 at the point T =[t1,4].## Correct answer:

Tips for related online calculators

The line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Do you want to convert time units like minutes to seconds?

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Do you want to convert time units like minutes to seconds?

### You need to know the following knowledge to solve this word math problem:

**geometry**- analytic geometry
- line
**algebra**- equation
**arithmetic**- square root
**planimetrics**- hyperbola
**basic functions**- functions

### Units of physical quantities:

### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Hyperbola

Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - General line equations

In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - Tangents to ellipse

Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1]. - Parametric equation

Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 >

- Circle

Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Parametric equations

Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1] - Chord BC

A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]?