Find the locus of the center of the circle touching the circle x\power{2} + y\power{2} − 4y - 2x = 4 internally and tangents on which from (1, 2)are making an angle of 60° with each other.

Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

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Q: to the hyperbola the tangents. x² 16 9 = 1. Also, find the angle between

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Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Find the distance of the line 3x−2y−1=0 from the point (5,3) measured in a direction making an angle…

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Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: There are two tangent lines from the point (0, 1) to the circle x2 + ( y + 1)2 = 1. Find equations…

A: The equation of circle is x2+y+12=1. Compare the above equation with standard equation of circle…

Q: Find the locus of the point of intersection of the tangents to the circl x2 + y2 = a2 mhoco at…

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Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis

Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9.…

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and…

Q: 3.2 Derive Laplace transforms of the input signals shown in Figs. E3.2 and E3.3 by summing component…

A: To calculate the Laplace transforms of the given functions as described by the graphs