4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: 36. Write an equation of the circle that is tangent to both axes with radius V11 and center in…

A: Let the center of the circle be x,y. The circle touches the x-axis at x,0 and y- axis at 0,y Since…

Q: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4) 25 O a. y = 7x 4 13 25 O…

A:

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

A:

Q: 20. The tangent of the acute angle between the y= 4x-3 and y=x-5 is 2 (A) 5 [B) [C) 3 (DJ The radius…

A: tan(θ)=m1-m2/1+m1m2

Q: Find the equation of a circle in standard form. center at (-4,3) and tangent to the x-axis O…

A:

Q: Find an equation of the circle with center at (– 5, – 5) that is tangent to the y-axis in the form…

A:

Q: For what values of a and b is the line – 3x + y = b tangent to the curve y = ax³ when x = 5? a = =

A: Given: Equation of curve is, y=ax3 The line tangent to the curve is, -3x+y=b at x=5. The objective…

Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

A:

Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A:

Q: Find the constant k so that the line with equation y = kx is tangent to the circle with equation (x…

A: Given:The line y = kx is tangent to the circle (x - 3)^2 + (y - 5)^2 = 4.

Q: Find the equation of the circle that passes through the point (9,7) and is tangent to both the y…

A:

Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: 5. Which is the equation of a circle with a center of (4, 5) and is tangent to the x-axis? 1. (x +…

A:

Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

A:

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

A:

Q: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through point…

A:

Q: Find for x? + x +y² + 2 = 3xy the lines that are tangent and normal to the curve at point (3,2).

A:

Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

A: Given the curve y = x2/2 we need to find the point where the tangent of curve y is parallel to the…

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: Find the exact length of the curve. Vy (y - 3), 16 < y < 25 X =

A:

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: If a focal chord of y =16x is a tangent to the circle (x-6)° +y² = 2, then the positive value of the…

A: Introduction :__

Q: - Find the equation of the tangent to the circle x2 С. Зх + 5y + D. Зx - 5y + А. Зх + 5y -34%3D0 B.…

A: Find the equation of the tangent to the circle x² + y2 - 34 = 0 through (3, 5).

Q: 11. What is the y-intercept of the line that is tangent to the graph of y =-x +4x at (1, 3)? a. -2…

A:

Q: Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10

A: A tangent to a circle is perpendicular to the radius vector on the point of contact. To find the…

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

A: equation of circle

Q: Find the exact length of the curve.y = 9 + 1/7 cosh(7x),  0 ≤ x ≤ 6

A: Given that: To find: Exact length of the curve

Q: Find the exact length of the curve. y = 9 +  1 7  cosh(7x),  0 ≤ x ≤ 6

A:

Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: If the line 3x - 4y = 0 is tangent in the first quadrant to the curve y = x^3 + k then what is the…

A:

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: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

A:

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

A:

Q: D. Find the equations of tangent to circle x +y 2 -16x -12y +87 = 0 at y = 4 (Write the equation of…

A: The equation of the circle is  x2+y2-16x-12y+87=0

Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

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

A:

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: Find the equation of the line tangent to the circle expressed as x^2 + y^2=5 at the point (x,y)=…

A: The equation of tangent to a circle S at the point (x1,y1) is given by the formula S1. Where S: is…

Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: 6. Graph the line with the equation y= jx+ 1.

A:

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

A: We will find the equation of circle.

Q: Find the lengths of the curves x = (y/4)2 - 2 ln (y/4), 4 ≤ y ≤12

A: Given equation of the curve - x = y42-2lny4           .....................(1)Given intervals = 4,…

Q: 10. Find the equation of the circle that has a center at (3, 3) and is tangent to the y- axis? a.…

A:

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

A:

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

A: