Ex(6):-(H.W) Find the center and the radius of the circle whose eq x'+ y' +x+3y 7

Q: Find the tangent to the parabola (x + 2y)² + 2x - y - 3 = 0, parallel to the line x - y = 1.

A: Consider the equation of the line x-y=1 ⇒y=x -1 Comparing with y=mx+c we get slope of line, m=1

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: Find x so the distance between (x, 3) and (4, 7) is 2/5.

A: Answer

Q: Verify that (2,3) is on the curve x²+xy-y²=1 and a. find the line that is tangent to the curve at…

A: Given curve, x^2+xy-y^2=1

Q: y = sech 0 (1- In sech 0)

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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: 3. Find the equation of the tangent line to the parabola 4x² +9y² = 18z, x = 3 at the point (3, 2,…

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

A: Explained below

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: The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО…

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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: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

Q: 8) Find the distance between (3, -2) and (6, 5) Round to the tenths place Substitute into formula

A: To find the distance between the points 3, -2 and 6, 5.