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Problem picture:

Kale Sampson 2022-11-05

Given triangle $△ A B C$ , with $A B = A C$ and $2$ times(length of inradius) which is equal to the length of exradius of excirle opposite vertex $A$ . Setup the coordinate system in the plane of triangle $△ A B C$ as follow: Origin at vertex $B$ , positive $X$ -axis along $B C$ and positive $Y -axis on the A side of B C . Find the equations of the incircle , excircles and circumcircle.$

Madison Costa 2022-11-05

In coordinate geometry, the $x$ and $y$ axis are perpendicular to each other. But is there any special reason for this (other than to make it simple)? Will coordinate geometry have contradictions if the axis are at any other angle? If we take the angle between the $x$ and $y$ axis as $θ$ , will we not be able to find new theorems?
Example: for $θ = 60^{\circ}$

hogwartsxhoe5t 2022-10-31

The slope of $O B$ is $1 / 2$ and that of $A B$ is $3 / 2$ . If the coordinate of $A$ is $(5, 0)$ , what is the coordinateof $B$ ?

Iris Vaughn 2022-10-21

Find the coordinate of the vertex of the following parabola algebraically.
$y = x^{2} + 14 x + 41$

Gisselle Hodges 2022-10-20

Prove that the diagonals of a rectangle bisect each other and are equal ( using coordinate geometry ). How to do this sum?

Aydin Jarvis 2022-10-17

For the curve $y = \frac{x^{2}}{e^{x}}$ for $x$ between $0$ to $3$ inclusive, find the $x$ coordinate of the point $P$ at which the tangent to the curve passes through the origin.

firmezas1 2022-09-29

$O A B C$ is a parallelogram where $B$ is the origin and $O$ is the point $(5, 7)$ . $C$ lies on theline $x - 2 y = 0 </math and A lies on the line 2 x — y = 0 . Calculate the coordinates of A and C .$

daniko883y 2022-09-29

If the two tangents drawn from a point $P$ to the parabola $y^{2} = 4 x$ are at right angles then find the locus of $P$ .

Kody Whitaker 2022-09-26

Determine the coordinates of the unknown vertex or vertices of each figure below. Use variables if necessary.I'm not sure how to find $C$ and $E$ .

kennadiceKesezt 2022-09-25

Show that the equations to the straight lines passing through the point $(3, - 2)$ and inclined at $60^{\circ}$ to the line $\sqrt{3} x + y = 1$ are $y + 2 = 0$ and $y - \sqrt{3} x + 2 + 3 \sqrt{3} = 0$

basaltico00 2022-09-25

How can we draw a triangle give one of its vertex and the orthocentre and circumcentre?

Gillian Cooper 2022-09-23

In coordinate geometry, whenever we solve a problem we see that if the resulting solution is a line, then all the lines which are parallel to y - axis are left out since their slope will be $\infty$ and thus can't be calculated. This is a big problem when solving questions since very often we tend to miss out on specific solutions or sometimes get no solution at all when the only solution is a line parallel to $y$ - axis.
What method of dealing with this problem ?

Cindy Noble 2022-09-07

Find the equation of the line between (8, -2) and (6,5) in slope intercept form

flatantsmu 2022-09-05

Find the equation of the following circles: A circle has its centre on the line $x + y = 1$ and passes through the origin and the point $(4, 2)$ .

Hope Hancock 2022-09-05

In the figure below, what are the values of $x$ and $y$ ?

Now, y cooridinate will be $b - k$ . But how to calculate the $x$ coordinate?

divamannyxv 2022-08-21

The diagram shows the sketch of a straight line $m y - x = n$
The point $(- 6, 0)$ is reflected onto point $(2, 0)$ in the line $x = k .$ . find the value of $k$
What means "reflected onto point..."

Passafaromx 2022-08-16

If the points $A (4, 3)$ and $B (x, 5)$ are on the circle with center $O (2, 3)$ find the value of $x$ .
Since $A O = B O$ Using distance formula, we get $x = 2$
However my approach was why can't section formula be used where $(2, 3)$ can be considered as the midpoint so that $M = \frac{x_{1} + x_{2}}{2}$

Maia Pace 2022-08-15

Why do formal mathematics courses teach vector,coordinate geometry and complex numbers separetely?

Trevor Rush 2022-08-13

10. What is the axis of symmetry for the parabola:
$y = - 2 (x - 3) (x - 7)$
A) x=-2
B) x=-3
C) x=3
D) x=5
11. Find the equation of a parabola in vertex form that passes through the point (7, 11) with vertex (5,-1)
(A) $y = 3 (x - 5)^{2} - 1$
(B) $y = \frac{1}{12} (x + 5)^{2} - 1$
(C) $y = - 3 (x - 7)^{2} + 11$
(D) $y = \frac{1}{12} (x + 7)^{2} + 11$

Coordinate geometry is a branch of mathematics that deals with geometric problems using coordinates. It is used to solve equations and questions by plotting points on a graph and by creating lines, circles, and shapes. It can also be used to calculate distances, angles, and areas. Coordinate geometry can help you understand real-world problems and visualize solutions. For example, it can be used to analyze the trajectory of a projectile or the location of a satellite. Whether you need help with coordinate geometry questions or equations, this math site can provide the answers. Take advantage of our experts and their extensive knowledge to get the help you need and learn more about coordinate geometry.

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