3. (а) Find the equation of the chord of the circle x + y 81 which is bisected at the point (-2, 3) and its pole with respect to the circle. (b) Find the radical axis of the circles x + y² + 2ax +c² = 0 and x² + y? + 2by + c? = 0. Hence deduce the condition that they touch each other.

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Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

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Q: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

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Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: What is the length of the latus rectum of the curve x2=-12

A: Answer

Q: Find the distance between the points of intersection of the graphs y = x+2 and y = 4 - x.

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Q: 4 Find a. the equations of the tangents to the circle x'+y +4x-2y-24 0 at the points where the…

A:

Q: Find the equation of a circle that has its center at (6, -4) and has a radius of 3. ( x + 6) 2 + (…

A: Please refer the attached image for complete solution.

Q: 4 Find a. the equations of the tangents to the circle x + y +4x - 2y - 24 = 0 at the points where…

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Q: 1. Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3).

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Q: Determine shortest distance of the line 2x-3y-8 to the vertex of the curve x2 - 4a 4y +4 0. O 2 O…

A: We have given a line ,and find the shortest distance from vertex of parabola to line.

Q: b) What goes wrong if you try to apply the same procedure to find all the points on the circle r? +…

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Q: 22. Find the center and radius of the circle whose equation is x2 – 24x + 48 = -y² + 10y О С(12, 5),…

A: The solution is given as

Q: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: Prove that the curves y2 = 4x and y2-6x+1 = 0 touch each other at the point (1,2)

A:

Q: Find the distance between the points of intersection of the graphs y = x² + 2 and y = 11. %3D

A: Given y = x2+2y = 11

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Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

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Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

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Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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Q: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: Concentric with the circle x ^ 2 + y ^ 2 - 4x + 6y - 17 = 0 and 3x - 4y + 7 = 0 equation of the…

A: Solution:- x2+y2-4x+6y-17=0 x2-4x+6y+y2=17 x2-4x+4+6y+y2+9=17+4+9 x-22+y+32=30 Center of circle (2,…

Q: у-аxis 24 1- +>x-axis -1 1 2 3 4 5 6 7 -3 -5- -6+ What is the equation in standard form of a circle…

A: In this question we have to find the equation in standard form of a circle.

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Q: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

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Q: 1. Determine the center and the radius of the circle whose equation is given by x² + y² – 6x…

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Q: ind the equation of a line tangent to the circle x2 + y2 - 8x -14y + 52 = 0 at point (7,5) a.…

A: we have the equation of circle is  x2+y2-8x-14y+52=0  .........(1) differentiate with respect to x

Q: Write the equation of the circle. Center at (-7, 11), radius 8 O (+11)² + (y-7)² = 121 O (x + 7)² +…

A: We have to find the equation of the circle which has  centre at   ( -7, 11)  and  radius 8. Now as…

Q: 6. Show that if m is any real number, then there are exactly two lines of slope m that are tangent…

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Q: 4 Find a. the equations of the tangents to the circle x +y +4x-2y – 24 = 0 at the points where the…

A: Given,  (a) Equation of the circle   x2+y2+4x-2y-24 = 0  We have to find the equations of tangents…

Q: 1. The midpoint of points A and B is given to be (-,–1). Suppose two lines l1 and lz are…

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Q: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

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Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

A: