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

Q: Find the distance between the point (5, 1) and the line y = 3x + 1. O 3V10 O 7/10 O 9/10 O 5V10

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Q: Find the image of the circle x2 + y² = 4 under a dilation of factor 2 from the x-axis followed by a…

A: The dilation of a curve indicates the expansion or contraction of the curve. If a curve is dilated…

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

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Q: Find the shortest distance from the point (1,2) to appoint on the circumference of the circle…

A: We have to find the shortest distance from the point (1,2) to appoint on the circumference of the…

Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

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Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

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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: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

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: At what points will the line y = x intersect the unit circle x2 + y2 = 1? (x, y) = (smaller x-value)…

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Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

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: Find the distance from the point P(2,1) to the line v = x + 2

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Q: Find | xz ds, where C is the line segment from (0,0,-6) to (-5,5,-7)

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Q: Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and that…

A: y=2x-4 and y=-4x+20 We need to find the area of the triangle that lies in the first quadrant (with…

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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Q: what is the radius of the circle 4x^2 + 4y^2 = 4y - 8x + 5

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Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: Determine what is the minimum distance from the origin to the line  y=-2x+5

A: topic - distance of line from origin

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

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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: (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: 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: Find the shortest distance from the point (- 1, – 2, 5) to the cone z = x² + y². Please | round to…

A: Distance of a point from cone is                                      d=(x-x1)2+(y-y1)2+(z-z1)2 from…

Q: Find the smallest angle between the lines 2x+y-8=0 and x+3y+4=0

A: We have to find angle between lines.

Q: Find the distance from the point (2, 1, 3) to the line x = 2 + 2t, y = 1 + 6t, z = 3

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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: At what points will the line y=x intersect the unit circle x2  + y2 =1?

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

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Q: So Find x²z ds, where C' is the line segment from C (0,-5,4) to (-6,-4,3)

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Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

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Q: Find the distance between the plances 3x + y - 4z = 2 and 3x + y – 4z = 24

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Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

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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: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: length

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Q: Find the dis tance from the Point (2,5) and the line 2y=6x-1

A: Given : To determine the distance of the point 2,5 and the line 2y = 6x-1

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0.

A: Introduction :

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.