(a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose center is at the origin?

Q: What is the distance between the line with Cartesian equation x-6=y-2= z and the line with Cartesian…

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Q: Find the equation of the tangent line to the circle x2 + y2 = 25 through the point (3, 7).

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Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² of the point of intersection of…

A: Let R(h,k) be the point of intersection of the tangents drawn at P and Q to the given circle.Then PQ…

Q: A circle with radius 5 has its center at origin. What is the equation of the tangent line to the…

A: The equation of a circle centered at and has a radius r is defined by the equation, . The slope of…

Q: The curve x³+y³ = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

A: Let f(x,y)=g(x,y) be the given curve then the equation of Tangent line at (a,b) is given…

Q: the curve x^3+y^3=3xy was first discussed in 1638 by the French philosopher-mathematician René…

A: The curve x3+y3=3xy is known as the folium of Descartes.It was first discussed by René Descartes in…

Q: CHALLENGE PQ is tangent to circles R and S. Find PQ. Explain your reasoning.- P. 4 R S.

A: Use property of common tangent

Q: The line tangent to the circle expressed as x² + y² = 5 at the point (x,x)= (1,2). Find the…

A: We will find out the required equation of tangent line.

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then…

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Q: C\index{1} and C\index{2} are circles of unit radius with centers at (0,0) and…

A: The equation of any circle through (0,0) and (1,0) is…

Q: If the straight line x-2y+1=0 intersects the circle x\power{2}+y\power{2}=25 at points P and Q,then…

A: we need to find the coordinates of the point of intersection of the tangents drawn at P and Q to the…

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then find…

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Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

Q: You are given the circle, x² + y2 = 25.

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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…