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How to find the coordinate of p and q if the circle cuts the x-axis at the points p and q in 2x^2 +2y^2 -8x +5y -10=0


A truck hauling a cylindrical steel ta

nk has to pass under an overhead parabolic arch bridge

which has span of 7.32m and 6.10m high. If the tank is 1.83m in

diameteris placed in the truck with sides vertical, and the top of the tank is 3.05m above the street level, can the truck pass the bridge? If so,what is the smallest clearance from the top of the tank



Circles has radius 5 and tangent to the line 3x+4y=24 at the point (2, 412⁄). Illustrate thenfindthe equations of thecircles


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

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