Find all points having a y-coordinate of - 6 whose distancefrom the point (1, 2) is 17.(a) By using the Pythagorean Theorem.(b) By using the distance formula.

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = 1/(x2 +…

A: A function is symmetric with respect to the y-axis if f(x)=f(-x). Such a function is also called an…

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

A:

Q: Find all points having an x-coordinate of 3 whose distance from the point (-2,1)is 13 (a) By using…

A: (a) By using the Pythagorean Theorem (see graph below)   Let (-2,1) denote the coordinates of the…

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: Use the algebraic tests to check for symmetry with respect to both axes and the origin.x2 − y = 0

A:

Q: 4. Find the equation of the locus of the points P(x, y) whose distances from the point (3,2) are…

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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 length of the curve y = x2, 0 ≤ x≤√3/2.

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

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Q: Find the point Q that is on the curve nearest %3D the point (4, 1)

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Q: Find all points having an x-coordinate of 3 whose distancefrom the point (- 2, - 1) is 13.(a) By…

A: We have to  find all the points is of the form (3,a) whose distance from the point (-2,-1) is 13 by…

Q: Find the length of the curve r=θ^2 from θ=0 to θ=6

A: Given: -

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Find the real number ( B) such that the line of symmetric equatic x - 3 == ) is parallel to the…

A:

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Let the line segment be AB , where coordinates of A & B are 3,-2 & 5,-1 .Let the three…

Q: Find formulas for the distances between (0, 0) and (a, a2 ), a > 0, along the line between these…

A: Derivative of a function is determined as the change of variable with respect to change in another…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = x/(x2 +…

A:

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: the path of a diver is gien by 2y=-x^2+6x+102 where y is the height(in meter) and x is the…

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Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

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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

A:

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Let A and B are two endpoints of the segment AB. The coordinate of midpoint M is given by the…

Q: Find all points having a y-coordinate of -6 whose distance from the point(1,2) is 17. (a) By using…

A: Equation relates the number of variables combined together by algebraic entities using equality…

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 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: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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Q: y² = x x-1

A: We have to sketch the following curves.

Q: Concentric with the circle x ^ 2 + y ^ 2 - 4x + 6y - 17 = 0 and 3x - 4y + 7 = 0 equation of the…

A: Solution:- x2+y2-4x+6y-17=0 x2-4x+6y+y2=17 x2-4x+4+6y+y2+9=17+4+9 x-22+y+32=30 Center of circle (2,…

Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular.…

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Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A: Let the arbitrary point be Px,y,z. Consider that the distance between two points is given by the…

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

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Q: Find the shortest distance from the point (4,2) to the curve x^2 Зу^2 %3D 12 +

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Q: on the line ye -2x +8 that 1-) Find the point IS Close't to the onigin.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find an equation for the set of points equidistant from the y-axis and the plane z = 6.

A: we  have to find an  equation for the set of points equidistant from the y-axis and the plane z =…

Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…

Q: Consider the two points (4,2) and (10,4). The distance between them is:   The x co-ordinate of the…

A:

Q: Find a formula for the shortest distance from a point (a,b,c) to the y-axis.

A: We will find the formula as following.

Q: At what points will the line y = -2x intersect the unit circle x2 +y2 =1 ?

A: The circle equation is x2+y2=1 and the line equation is y=-2x.

Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

A: The equation of the given curve is  y=13x2 ln x-2x+5 , x>0 For the curve to be convex its second…

Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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: Consider the two points (1, –4) and (-6, –2). The distance between them is: The x co-ordinate of the…

A: By using distance formula and mid point formula, we calculate the required distance and midpoint.

Q: State the curve domain and coordinates of the point where the curve cross es the n-axis y: In (2x…

A: Given y= ln(2x - 5)  The domain of a function is the complete set of possible values of the…

Q: length

A:

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.