Choose the appiopriate name for the following equations 4 x² +4 y° =1 Choose... 4 x2 = 1+4 yghoose.. Straight Line 4 x² +3 y} = \ Cicle

Q: Find the equation of the smaller circle that touches the circles x2 +y2=1  and passes through the…

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Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

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Q: Find the midpoint of PQ.  P( -6, 7) and Q( 3, 1)

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Q: 1. ) Find the equation of a line parallel to Ex + 5y = 1, with the same y-intercept as K- 4y = 8. D)…

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Q: 18 What is the equation of a circle with radius 3 and center (3,0)? A x² +y? – 6x = 0 B. x? +y? + 6x…

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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: Find a rectangular equation for the curve. π π x= 5 sect, y = 3 tant for t in(-22) Choose the…

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Q: A cable car is to be built up the side of a hill. The coordinates of the bottom end of the are…

A: Let coordinates of the point  on the cable where tower will be placed is P(x,y,z)-

Q: Which of the following is the center and radius of the circle? x² + y² + 10x - 6y + 15 = 0

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Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: Find the center and radius of the circle with equation (x - 3)² + (y + O A. center: (3, -2); radius:…

A: The standard equation of a circle is given by x-h2+y-k2=r2, where (h, k) is the center of the circle…

Q: Find the points of intersection of the following pair of curves. 29 X+5 y = ,x3 +3x2 +5, y= 9x2 -…

A: Given

Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Plot the following points: A (3,-3) B (4,2) Determine the Distance AC. C (-1,2) D

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Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: 6x + 2y 8. a b' 4x + 7 10x-5 68" 9x +y a =

A: Opposite side of parallelogram are equal Adjacent angles are supplementary

Q: Q For the Point P(3,120) (a) Live ano ther expression for the point in case (b) convert Hhis point…

A: Given: The polar coordinate P(3,120)

Q: Which are the center and radius of the circle with equation (x + 5)- + (y – 4)² = 9? O A. (-5, -4);…

A: Option C is correct. Please see below for solution

Q: Find the points on the circle are farthest and nearest to the point (-5,6). x\power{2}+y\power…

A: The given circle is  x2+y2-2x+4y-20=0 The center of the circle is C(1,-2) and the radius is r=5…

Q: (-2,1) 4-4) y 4 2. D -2

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Q: Find the distance between the two points.   ​(3​,−10​) and ​(27​,0​) The distance 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…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.