The equation of the circle whose center lies in the first quadrant on the straight line y=2x, passes through the origin and has a radius of /5 units, is Select one: O a. x²+y² – x-2y=0 O b. x²+y? -2x-4y=0 O c. x²+y²+2x+ 4y=0 O d. x2+ y² +x+2y=0

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: x^2+y^2−16x+14y+ 97= 0 is the equation of a circle with center (h,k) and radius r for: h= and k=…

A: Solution is done in step 2

Q: The center of a circle lies on the line y =6x + 2 and is tangent to the x-axis at (-2,0). What is…

A:

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

A:

Q: 7. The radius of the circle whose equation x + 6x + y – 6y – 7 = 0 is

A: Your answer Radius =5

Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

A:

Q: Find the equation of a line tangent to the circle x2 +y2 – 4x + 2y - 31 = 0 at the point (2,5). Draw…

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Q: (b): §. (x* – 2y³)dx + (2x³ – y*) dy, where C is the circle x² + y² = 4.

A:

Q: The general equation of the circle is x²+y²+Dx+Ey+F=0,where D,E and F are real numbers? True or…

A: We know that, the general form of the equation of a circle is x2 + y2 + 2gx +2fy + c = 0. Here, the…

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0< x < 1

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

Q: 2* + y – 10x+ 18y – 90 = 0 is the equation of a circle with center (h, k) and radius r for:

A: The given equation of a circle x2+y2-10x+18y-90=0 Completing the squares…

Q: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

A:

Q: 2x² + 2y² + 8x + 4y + 2 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A:

Q: Find the length of the chord intercepted by the circle x2+y2+3y-22=0 on the line y=x-3

A:

Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

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Q: x + y - 18x + 10y+ 90 = 0 is the equation of a circle with center (h, k) and radius r for: h = and.…

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

A:

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

A: Topic = Circle

Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y - 10 = 0.…

A: Circle equation

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

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

Q: Q2. What is the equation of the circle whose center is (3,4) and tangent with (x-axis)

A: 2. Equation of circle with center at (a, b) and radius r is as follows. (x-a)2+(y-b)2=r2. Center of…

Q: x2+y2−2x+2y+1=0 is the equation of a circle with center (h,k)(h,k) and radius rr for: h=h=   and…

A: We will solve the given equation in form of (x-h)2 + (y-k)2 = r2

Q: The center of a circle lies on the line y= 6x +2 and is tangent to the x-axis at (-2,0). What is the…

A:

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: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

A:

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

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: At what points will the line y=x intersect the unit circle x2  + y2 =1?

A:

Q: What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y? + 6x = 0 B. x2 + y? –…

A:

Q: 7. Show that: x² + 8x + y2 – 10y - 8 = 0 is the equation of a circle. What is the center of this…

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Q: Find for the equation of a circle with center at (-1, 4) and passes through the point (3. 2).…

A:

Q: The center of a circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: We have to find the equation of circle in standard form.

Q: The equation of a circle can be represented as in-h)² + (y – k)² = r², where (h. k)ie center of the…

A: Substitute h,k and r in the equation, x-h2+(y-k)2=r2 and solve for y to yield the result.

Q: Find the equation of the circle tangent to the line 3x- 4y+ 6 = 0 at (2,3) and passing through (-1,…

A:

Q: The equation of the circle that is concEntric with the drcle x+2x+ y-8y+14=0 and touches the y-axis,…

A: The equation of the circle with centre at (a,b) and radius r is (x-a)2+(y-b)2=r2

Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

A:

Q: point

A:

Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

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Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

A:

Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

A:

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: length

A:

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

A:

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.