Which of the following centers of circles that can be tangent to the line x + y = 4 at point (1,3) O(0,2) and (2,4) O (4,2) and (2,0) O (2,2) and (4,0) O (0,2) and (4,2)

Q: If y is a differentiate function of x, then the slope of the curve of; xy^2-2y+4y^3=6 At what…

A: given that y is a differentiate function of x then we have to find the slope of the given curve at…

Q: Evaluate S, y? – x ds for each of the following curves. a) C = c, is the line segment from (-5, -3)…

A: Line integral  L=∫Cf(x,y)ds If curve C is defined by x=f(t) and y=g(t) then ds=dxdt2+dydt2dt

Q: (6) Let -1 3 1 y = 2 and uj = -1 u2 -1 -2 Find the closest point to y in span{u1,u2}. What is the…

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Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

A: Since the required circle has its center on the x-axis,let the coordinates of the center be…

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

A: Using general equation of circle

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: 4. Point C (-5, 4) is reflected over the X-axis. What are the coordinates of C'? O a) (5, 4) O b)…

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Q: The line 2x − y + 1 = 0 is tangent to yhe circle at the point (2,5) and yhe center of the circl lies…

A: Center lies on x-2y=4.let the center be C(4+2t,t).nowradius r=distance of from the…

Q: A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b)…

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

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

A: First find the equation of the tangent. The point (1,2) is tangent to the given circle. The general…

Q: A variable straight line is drawn through the point of intersectio straight lines x / a+y/b = 1 and…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

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: A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: We use midpoint formula here.

Q: Find the equation of tangents to circle x² + y² - 2x+4y-4 = 0 drawn from point P(2, 3).

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Q: C B AK What additional information is needed to prove A BAC AKJL by Side-Angle-Side (SAS) Your…

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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: 2 The equation of the tangent line to the graph y at the point (-1,2) is given by O a) y = 6x + 8. O…

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Q: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

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Q: -4, 0) Ay \ 2x (1, 0) -2 -2 (-1, 0) 4 (4, 0) 6' -3 1. 1 3 x 4 (2, 0) (-2, 0) 5. 4, 0) 4 2 6.

A: We have to find the intercepts of the x axis of the equation of the given graphs.

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

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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: 0(0,0). U(0,3), A(5,3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0)…

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Q: The tangent to the circle x\power{2}+y\power{2}=5 at (1,-2) also touches the circle…

A: The equation of tangent to x2+y2=5 at (1,-2) is x-2y-5=0.putting x=2y+5 in the equation of circle,we…