uestion 4: If two circles (x – 1)²+ - y – 3)? = r² and x² + y? – - 8x + 2y + 8 = 0 intersect in two distinct points, then A)2 < r < 8 B)r = 2 C)r < 2

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

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: (1,6) and perpendicular to 2x+7y=1

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Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

A:

Q: Find all the possible points of intersections of 9x2 + 4y2 + 18x – 16y = 0 and (x + 1)2 + (y– 2)² =…

A: Given curves: 9x2+4y2+18x-16y=0   ········(i)x+12+y-22=5         ········(ii) From equation (ii)…

Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

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

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Q: The distance of the line 7x + y –5 = 0 from the origin is?

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Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: There are exactly two values of y that make the points A = (0, 1), B = (4, – 10) and C = (-15, y)…

A:

Q: If the radical axis of the circles x² + y² + 2gx + 2 fy+c= 0 and 2x² + 2y² + 3x +8₂ touches the…

A: Given: Here the radical axis of the circles given x2+y2+2gx+2fy+c=02x2+2y2+3x+8y+2c=0 we have to…

Q: Find the distance from the point (-6, −6, 2) to the line Ỉ =(−1,−1,7)+t(4,−8,2),−oo <t<0. <∞.

A:

Q: A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the…

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Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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Q: The distance between the points (3, 8) and (x, 8x + 3) i

A: Solve for the distance between two points

Q: Determine the distance D between the vertices of -9x² + 18x + 4y² + 24y − 9 = 0.

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Q: Standerd foran

A: Given query is to find the the standard form of quadratic.