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How far from the y-axis is the center of the curve 2x²+2y²+10x-6y-55=0
Find the angle between the vectors √2i + 2j + 2k and i + √2j + √2k.
In the triangle ABC having vertices at A(-2,5), B(6,1) and C(-2,-3) , find the length of the median from vertex B to side AC .
We consider the point M(1, 0, 2) and the lines d1 : x = t + 1, y = −t + 2, z = t − 1 and d2 : x = y = z. (a) Find the director vectors of the lines d1 and d2. (b) Find the angle between the lines d1 and d2. (c) Write the equation of the plane passing through the point M that is perpendicular to the line d2
Find the exact distance between the pair of points. (2, 0), and (4, -5)
What are the center radius form of a circle defined by x²+y²–2x+4y–1=0
What is the center radius form of the equation of the circle
Find the standard of the circle which has a circle at ( 15, -20), radius 9.
Graph two overlapping circles in the cartesian plane, such that the center of one another
lies at the circumference of the other.
• Show the standard and general equations of these circles inductively (meaning, writing
from its properties going to the equation).
• Graph also a parabola whose vertex is the center of one circle, and whose opening faces
the center of the other circle.
• Graph another parabola opposite to the first one whose endpoints of Latus Rectum are
the intersection points of the two circles.
• Show the standard and general equations of the parabolas inductively (meaning, writing
from its properties going to the equation).
m=(m=( -7+(-2 )/2, 3+(-3)/2
#339914 on Dec 2023