Find equations of the lines passing through the origin that are tangent to a circle with radius 2 and center at point (2, 1). Possible equations are

Q: Give the equations of the lines through the point (0, 9) that are tangent to the curve y x + 4 Use…

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Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.…

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the…

A: Given: y=x2

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: The circle whose equation is ((x+3)^2)+((y+4)^2)=17 and the line whose equation is y= 4x+25 are…

A: Given query is to find the the point of tangency.

Q: How do you find a tangent line of a circle Equation: (x - 3)2 + (y - 5)2 = 5 Point: (4,7)

A: solution:- Given                x-32+y-52=5                 point  4,7The above lies on the…

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: Point A is located at (-1, -5). The midpoint of line segment AB is point C(2, 3). What are the…

A: Given , Point A is located at (-1,-5).the mid point of line segment AB is point C(2,3).we have to…

Q: Draw a diagram to show that there are two tangent lines to the parabola y = x 2   that pass through…

A: Explanation: Given that,                     Assume that, point of tangency is (a, a2). Slope of…

Q: The equation of the tangent line to the circle x^2 + y^2 = 36 at the point (5, square root 11) is…

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Q: Show that the circle can be drawn touching line 3x+y-6 =0 at (3,3) and touching the line 3x+y+2=0 at…

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Q: Sketch the curve f(x, y) = c together with  ∇ƒ and the tangent line at the given point. Then write…

A: xy=-100

Q: Sketch the graphs of y = x2 and y = −x2 + 6x − 5, and sketch the two lines that are tangent to both…

A: Given y=x2........... (1) and  y=-x2+6x-5 ..... (2) Sketch the graph using equation 1 and 2  Here…

Q: How to find an equation of the line tangent to the circle x^2+y^2-6x-2y-15=0 at the point (6,5) ?

A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

Q: A circle is tangent to the line 2x-y+1=0 at the point (3,5) and the center is on the x+y=9. Find the…

A: Given that equation of tangent to the circle is  2x-y+1=0 at point (3,5)

Q: Find the equation of the line tangent to a circle with center at (3,2) and radius 5 at the point…

A: The center of the circle is:  (h, k) = (3, 2) Radius of the circle is:  r = 5 Now we have to find…

Q: A curve passes through the point (0,5) and has the property that the slope of the curve at every…

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

Q: Two circles are tangent externally with each other. How many possible lines can be drawn that are…

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Q: find the tangent of the angle from the line through (-2,-3) and (4,3) to the line through (-1,6) and…

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Q: Draw a diagram to show that there are two tangent lines to the parabola y = x² that pass through the…

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Q: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

A: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

Q: Find the equation of the tangent line to the circle at the point (-3, -4). Equation of the circle *…

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Q: Find the coordinates of the point P in the graph at which the tangent line passes through (5, 0).…

A: The given function is fx=16-x2. let the given point P be h,k. It is given that h,k is on fx=16-x2.…

Q: Find the equation of the tangent line to the circle x^2 +y^2 =1 13 at the point ( 1/2 , (√3)/2 )…

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Q: There are two lines through the point (−1, 3) that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3…

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Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

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Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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Q: Find the points of intersection of the circle C of radius 3 centered at (-1, -2) and the line L with…

A: Want to find:                         the points of intersection of the circle C of radius 3…

Q: 1) What is the equation of 5 center the circle whose center is (4, 2) (4, 2) and is tangent to line…

A: Given the center of the circle is (4,2) and is tangent to line y=-5. Since, the tangent is a line…

Q: Find the equation of line tangent the circle x ^ 2 + y ^ 2 = 25 at point at (3, - 4)

A: Differentiate the equation and get slope of tangent at (3,-4) ddxx2+y2=ddx252×3+2×-4×dydx=0dydx=34

Q: determine the general form of equation of the line that is tangent to a unit circle at a point 30…

A: Given: An unit circle with center at origin and a point P on the circle at angle of 30° in the…

Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

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Q: The coordinates of the point in the first quadrant where the line with equation y = 1.5z + 4…

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Q: ind an equation of the circle with centre C(3,-2) and tangent line y=5 .

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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…

Q: Give the equation of a circle tangent to the line 3x + y -2 = 0 at (-1, 5) and with a radius equal…

A: Topic = Circle

Q: Does this curve go through the point (-1, 1, -1)?

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Q: Solve the standard equation of every circle that passes through the points P(1,-1) and Q(3,1) and is…

A: I am attaching image so that you understand each and every step.

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: Point A is located at (-1,-5). The midpoint of line segment AB is point C (2, 3). What are the…

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Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x? that pass through…

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the tangent line,…

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (-1,…

A: Given, x+22+y-32=37      ......1Point -1, 9

Q: Use a graphing utility to sketch the intersecting graphs of the equations and show that they are…

A: Orthogonal curves are the curves whose tangent lines are perpendicular at every point of…

Q: Find the equations of the tangents to the circle x² + y² = 9 with slope 1

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Q: A line with the slope of 1/(1/2) passing through the origin will intersect the rectangular region.…

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Q: The point (1,3) on the curve y = 7x- 3x² where the inclination of the tangent is 45° A True B) False

A: The slope of a curve at a given point is equal to its derivative at that point. also slope=tanθ…

Q: 4. Find the equation of the circle that is tangent to the line x = 8 that has a center at (-5, 10).

A: The general equation of circle having the center at h,k and radius r is given as, x-h2+y-k2=r2 it is…

Q: At what point in the first quadrant does the line with equation   y = 0.5 x + 4   intersect the…

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