Question 2: The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point:

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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

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Q: Find the equation of the circle in standard form centered at (1, 4) passing through the point (5,…

A: Standard form of a circle:

Q: Find the equation of a circle whose center is at (4,2) and tangent to the circle x² + y? – 8x – 6y+…

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Q: i æ² + y? = 30 and (x + 1)? + (y – 1)² = 6 | ii (æ + 3)? + (y – 2)² = 9 and (x + 7)? + (y + 1)? = 4…

A: (i) The given circle is: x2+y2=30        ....1x+12+y-12=6       ....2

Q: iv) y=-x- 3 1 v) y=-2x+ vi) y=;* 1 21 y y y 1 =-2.5 1 2 2 y y y 2 2 2 -2 -2 -2 2 -2 2 2 y-intercept:…

A: We have to write equation in the form x/a+y/b=1 for y-intercept , here b is y-intercept

Q: P(t) denotes the point on the unit circle U that corresponds to the real number t.

A: The x-coordinate of any point on the unit circle represents cosine value and y-coordinate represents…

Q: (4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0),…

A: Given that a(x2+y2)+b(x+y)=1 satisfy the given data (0,-1),(-1,0),(1,-1),(1,1)  that is it gives…

Q: Find the center and radius of the circle. 2 2 (x+9) + y = 64 O (9, 0), 64 O (0, -9); 64 O (0, 9) 8 O…

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Q: Identify the center and radius of the circle defined by the equation: (x – 2)2 + (y- 3)² = 9 o…

A: Given the equation of a circle : x-22+y-32=9   Standard equation of a circle: x-h2+y-k2=r2 where h,k…

Q: 5-30. Write the equation for a circle with a center at (-3,5) that is tangent to the y-axis (in…

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Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: Which of the following points lies on the circle (x-2)2 + (y-3)2 5? Select one: a. (3,5) b. (5, 3)…

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Q: Write the standard equation of a circle with the center at (-1, -4) that passes through the point…

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Q: Which of the following points is inside the circle whose equation is (x – 8)? + (y – 5)² = 36 (3,11)…

A: We have to check which points is inside the circle whose equation is  (x - 8)2 + (y - 5)2 = 36 Let ,…

Q: For each curve in Figure 31, state whether it is symmetric with respect to the y-axis, the origin,…

A: To state whether it is symmetric with respect to the y-axis, the origin, both, or neither.

Q: O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the…

A: Given The O(0,0)  and  A(4,4) are any two points and  B is any points . OB and AB are perpendicular…

Q: Q1 a) Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and…

A: Sol

Q: FinD the asymplehes of the Cerve +y) (x+24+2) = X+94-2. 2,

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Q: Is the point (-15, 15) on the circle defined by (x+15)+(y-15) = 100? Yes No X Ś

A: To determine whether the given point lies on the circle or not.

Q: Find the center and radius of the circle with the given equation (x – 5) + (y+ 3) = 49 O(-5, 3); 49…

A: Given that the equation is     (x - 5)2 + ( y + 3)2 = 49 Here we have to find the center and radius…

Q: Find the length of the chord of contact with respect to the point on the director circle of circle…

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Q: x² + y² - 2x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:

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Q: Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many…

A: The data plotting helps to visualize the relationship between variables. A dot plot consists data,…

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: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

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