If the liney=√3x+ktouches the circlex2+y2=16,then find the value ofk. View Solution At how many points does the line y=2x-1 intersect the circle(x−4)2+(y−6)2=2? View Solution If the liney=2x+cis a tangent to the circlex2+y2=5then a value of c is ...
The vector valued function {eq}\displaystyle \vec{r}(t)=\left \langle x(t),\:y(t),\:z(t) \right \rangle {/eq} can be used to describe a curve in {eq}\mathbb{R}^{3} {/eq}, where {eq}r(t)=(x(t),y(t),z(t)) {/eq} is a point in the xyz...
How to find closest point on a circle to a line in 3D? At what points will the line y = -x intersect the unit circle x^2+y^2=1? A certain circle can be represented by the following equation: x^2 - 16x + y^2 - 36 = 0. What is the center of this circle?
(a) Find the equations of the circles where the sphere (z - 3)^2 + (y - 1)^2 + (z - 2)^2 = 10 intersects each coordinate plane, if such a circle exists. (b) Find the points where this sphere intersect What are the 3 radii of this ellips...
At what point in the first quadrant does the line with equation y=x+4 intersect the circle with radius 4 and center (0,4)? Circle. Definition, standard form equation and intersection with a line Definition: We called circle to the set...
A straight line on a sphere always traces out a "great circle", like the equator. These lines are parallel twice, but also intersect twice. If an object is not experiencing any force, then it will travel in a straight line through space. This is true for space-time as well. So if ...
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A point P moves such that the chord of contact of P with respect to the circlex2+y2=4passes through the point (1, 1). The coordinates of P when it is nearest to the origin are View Solution The tangent at the pointP(x1,y1)to the parabolay2=4axmeets the parabolay2=4a(x+b)at...
At what points does the helix r(t) = intersect the sphere x^2 + y^2 + z^2 = 3. when t=?? At point(s)=?? (a) Find the equations of the circles where the sphere (z - 3)^2 + (y - 1)^2 + (z - 2)^2 = ...
At what points will the line y = x intersect the unit circle x^2 + y^2 = 1 ? - (x,y = ( ... ) (smaller x-value) - (x,y = ( ... ) (larger x-value) What is the diameter of a circle (in units) with the center at (-5, 3) and tangent to the line 8 - 2x =...