What is the length of the intercept made by the parabola ${ y }^{ 2 }=4x$ on the line $x+y=3$?
13306
If the line $y=x-8$ intersects the parabola ${ y }^{ 2 }=4x$ at A and B, what's the chord's length?
151716
Reflection over a line $y= ax + b$ - How to find the according point?
121196
How to place the intercept of x and y axes at (0 , 0) and extend the x and y axes to the edge of the plot
49999
Express $y$ from $\ln(x)+3\ln(y) = y$
53725
Factor $(x+y)^4+x^4+y^4$
63802
Parametric Equation of a Circle Using a Line
10309
Find the equation of the tangent line to the curve at the given point. $y = 1+2x-x^3$ at $(1,2)$
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
135365
If $x, y, z$ are the side lengths of a triangle, prove that $x^2 + y^2 + z^2 < 2(xy + yz + xz)$
143259
Find the condition on $a$ and $b$ so that the two tangents drawn to the parabola $y^2=4ax$ from a point are normals to the parabola $x^2=4by$
99502
Question on the coefficients of $(1+x+x^2+x^3+x^4)^{496}$
27127
Calculating $\iint (x+y) \, dx \, dy$
67083
Find the area of the region bounded by the parabola $y = 2x^2$, the tangent line to this parabola at $(3, 18)$, and the $x$-axis.
111044
Vector path length of a hypotenuse
40426
Polynomial degree 3 Equation
17475
Find the derivative of $y= \frac{(4x^3 +8)^{\frac{1}{3}}}{(x+2)^5}$
38894
Solve $x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$