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

Q: Find the point on the line x/a + y/b =1  that is closest to the origin. Be sure to enter it as an…

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Q: Find the length of the curve. x = y^2/3, 1 … y … 8

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Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: Find the distance between the points of intersection of the graphs y = x+2 and y = 4 - x.

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

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Q: Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

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Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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

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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: Find the point on the line y = 2x + 8 that is closest to the origin.

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Q: Find the point on the line  y = 4x + 3  that is closest to the origin

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Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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

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Q: at what point do the line intersect on the unit circle

A: The given line is,

Q: Perpendicular to the line 3x - y =-4; containing the point (–2,4)

A: 3x-y=-4 y=3x+4 here coefficient of x is 3 so the slope of the given line is m=3 and the given line…

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

A: Explained below

Q: Find the point of inflection of the curve y = 3x4– 8x3+ 6x2

A: An inflection point is a point on the graph at which the second derivative changes sign.If f…

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 distance between the points of intersection of the graphs y = x² + 2 and y = 11. %3D

A: Given y = x2+2y = 11

Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

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: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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Q: Write the equation in standard form for the circle with radius 4 centered at the origin. x² + y² =…

A: Use the standard formula for the equation of circle when centre and radius are given.

Q: What is the equation of a circle with center (-3, 5) that passes through the point (1, 5)? 2 OA…

A: To find the equation of the circle having center (-3, 5) and passing through the point (1, 5)

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…

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

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

Q: Find the point when the line y=-3x+8 that is closest to the origin.

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Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: Find the points on the line 2x+y=5that is the closest to the origin.

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Q: Find the point on the line y=3x-10 that is closest to the origin.

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Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

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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 point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: Find the equation of a line perpendicular to y=−4x that contains the point (−3,−4).

A: If a line is perpendicular to another line, then the product of the slopes of the two lines is…

Q: Sketch the curves 2.)  y = 36 + 12x - x3

A: This question is taken from the curve sketching in which we have to sketch the given function. We…

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: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: What is the equation of the radical axis of the curves x^2 + y^2 – 1 = 0 and x^2 + y^2 – 6x + 6y +…

A: Let us consider the curve C1 and C2 To determine the Radical axis between the curve solve  C1-C2=0…

Q: What point on the line y=3x+6 is closest to the​ origin?

A: The point on the line closest to the origin is the foot of perpendicular drawn from origin to the…

Q: Find the equation of the line parallel to the line y= 4x+3 and passes through the point (0,2)

A: This question is based on equation of line.

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

A: