RA variable straight line drawn through the point ofintersection of the straight lines + 1 and 1 meets the coordinate axes at A and B. Show that the locus of mid point of AB is 2xy (a + b)=ab (x+ y).

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: ROGRESS 36.3 Find the distance of the point from the line, for each of the following : 1. X +3 У -1…

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Q: the line thraugh (1,1,1) and parallel to z-axis

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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 a line that intersects the plane x+y+z=4 at only one point

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Q: Use a graphing utility to sketch the intersecting graphs of the equations and show that they are…

A: Given: x3=3y-1x3y-29=3 The intersecting graph is,

Q: Draw and annotate all the properties of the null and alternative curves:

A: Null hypothesis: The null hypothesis states that there is no difference in the test, which is…

Q: Find the points of inflection of the curve y = (1 + x)/(1 + x²). (Hint: All three lie on one…

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Q: A cariable straight line drawn through the point of intersection of the straight lines x/a+y/b=1 and…

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Q: About family of curves. Draw the curves in one Cartesian plane.

A: We draw the family of equation of the lines y+5=mx-3 for different values of m. [Blue lines] And we…

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

A: The equation of the ellipse is 8x2+9y2+8z2+18x-36y+18z+54=0 The locus of the point whose distance…

Q: Can i get help step by step with this problem?

A: Slope of the tangent is the derivative of the given curve. Therefore differentiating f(x) with…

Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

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Q: 11) Find the distance between point A(-3, 1,1) and the line of symmetric equations x = -y = -z.

A: This question is related to coordinate geometry, We will solve it using given information.

Q: How do you solve for square roots in fractions? Im suppose to solve the midpoint of the line joining…

A: Given formula is M = (x1 + x2)/2

Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: Find the points that touch the x axis of curve v = u2 + pu (n+1). Where n = 744. Also find the…

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Q: Point F is 50 mm from a vertical straight line AB. Draw locus of point P, moving in a plane such…

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Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

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Q: 9. A rhombus is drawn in the standard xy-coordinate plane. The line 2x+y= 4 includes one of the…

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Q: Draw a diagram to show that there are two tangent lines to the parabola y = x² that pass through the…

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Q: Find the equation of the line nomal to the curve y = 3x"-5x at the point (1,-2). Sketch the curve…

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Q: 9. GU Plot f (x) = /2x – I together with the horizontal lines y 8 > 0 such that if 0 < |x – 5| < 8,…

A: Draw the graph:

Q: 253. Find the distance between point A(-3, 1, 1) and the line of symmetric equations x=-y=-z.

A: Let B(a,b,c) be a point on a given line with direction vector v⇀=(x,y,z). Then distance of  a point…

Q: An equation in general form for the plane passing through the point (-5, 0, 2) that is perpendicular…

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Q: The line = (2, -1, -2) + s(1, 1, -2), sER, intersects the xz-plane at point P and the xy-plane at…

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Q: 2. Determine the x- and y-intercepts for the line 2x + 6y = 240. Show your thought process. 2b.)…

A: Topic =Coordinate Geometry

Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is:…

Q: The line through the point (0, 14, – 10) and parallel to the line x= -1 + 21, y = 6 – 31, z = 3 + 9t…

A: If the line is parallel to the line x = -1 + 2t; y=6 -3t and z=3 + 9t, then the line is parallel to…

Q: An offshore oil well in the ocean in a point W which is 5km from the closest shore point A.(i.e the…

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Q: In the xy plane a line has an x intercept of -2 and a y intercept of -4 what it the slope of the…

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Q: 3. Find the point (x1, x2) that lies on the line x + 5x2 = 7 and on the line x1 – 2x2 = -2. See the…

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Q: Use a graphing utility to sketch the intersecting graphs of the equations and show that they are…

A: Given : x 3 = 3 ( y − 1 ) x (3 y − 29) = 3   To determine :  Using a graphing utility to sketch the…

Q: distance between point Al2,4) Perpendicular on the line L:3y=3+X is solution:- 1) 149.3 2) 53,41 3)…

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Q: Find an ewuation for the line with the given properties. Express answer in general form or slope…

A: Recall: Point- slope intercept form : (y-y1)=m(x-x1) ; where 'm' is the slope and (x1,y1) given…

Q: 11. Find the slope-intercept of equation of the line J through (1, -3) and parallel to the ine H…

A: a) Given:       1,1 and -2,2  Mid point of the line =x1+x22,y1+y22…

Q: Line t contains the points (5, 2) and (-2,-3). Plot a point other than point P with integral…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: X ▪ Find equation of plane which is contains line L: 3y-2 2-7 = -3 -1 and parallel to intersection…

A: We will find a point vector on the plane a→ and normal vector to the plane n→ then equation of plane…

Q: 9. The line through (0,-7, 0) perpendicular to the plane x + 2y + 2z = 13

A: Given point is (0,-7,0) and plane equation is x+2y+2z=13 here we have to find the parametric…

Q: 5. How many lines are tangent to both of the parabolas y = -1-x² and y = 1+ x?? Find the exact…

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Q: A tangent line to a circle is a line that intersects the circle at exactly one point. The tangent…

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Q: 8) About the y-axis (0, 2) л y = 2sin (x) ;0< x≤ π X X

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Q: y Point Z is located on XY such that the ratio of the length of XZ to the length of ZY is 5:3. Enter…

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Q: Find distance between point A(1,3) Perpenclicular the line L: 2y =2+X on

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Q: Equation of the plane that passes through the point (8, -6, 4) and contains the line of the given…

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Q: Use a graphing utility to sketch the intersecting graphs of the equations and show that they are…

A: Orthogonal curves are the curves whose tangent lines are perpendicular at every point of…

Q: Find distance the poinl- the between CziZ16) * +y=0, J -Z = the line

A: Consider the given equation of a line: Here the objective is to find the distance between point p…

Q: 3. and the line perpendicular Find the area of a triangle bounded by the y axis, the line f(x) to…

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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…

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