* the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n, then the equation of the circle is O x2 + y2 - 2x + 2y - 23 = 0 O x2 + y2 + 2x - 2y - 23 = 0 O x2 + y2 + 2x + 2y - 23 = 0 O x2 + y2 - 2x - 2y - 23 = 0

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

A:

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

A:

Q: Find k so that the line through (4, -1) and (k, 2) is a. parallel to 2x + 3y = 6, b. perpendicular…

A: The line passes through the points (4, -1) and (k, 2). Then the slope (m) of this line is: m = [2 -…

Q: 5- Find the Line that passes through the point (l,2) and througgh the point of inter Section of the…

A: In this question given that point (1,2). And two lines x +2y = 3 and 2x -3y = -1. And we find that…

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: (B.) Determined by the intersecting lines L1 and L2 L1 : {x = 2t, y= 4- t, z = 3 +t}and L2:{x = 2 +…

A: According to guidelines we solve one question. thanku.

Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

A:

Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: 3) Determine the point of intersection between Line L: ( (x+1)/6)= ( (3-y)/-1)= ((z-4)/-2) and i…

A: Given, Equation of line is x+16=3-y-1=z-4-2.Equation of plane is x+2y-z+29=0. The intersection point…

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

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

A:

Q: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

A:

Q: 1. a) m and passes through the point (-3, 10) b) passes through points A(12, -1) and B(0, 4) c)…

A: We know the slope intercept form of line is : y=mx+b , where m is slope and b is constant. (a) Given…

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

A:

Q: Find the point of intersection of the lines: y = 4x + 1 and y = -2x +4 %3D o (2,9) 으(4,2) ㅇ (4,3) O…

A:

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

A:

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

Q: 2. Find the line L passes through the point (-2,2) and perpendicular to the line L: 2x+y= 4.

A:

Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

A:

Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: Find the point of intersection of the pair of lines if it exists. (If an answer does not exist,…

A: Solve the both equation

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

A:

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

Q: If line r has the equation y = - 2 what is the equation of line r given that line rwas dilated by a…

A:

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

A:

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

A:

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

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

A:

Q: Which of the following lines is perpendicular to the line   y  =  12x + 1   and contains the point…

A: Given line is y=12x+1 And the point is (2, -2)   By comparing the equation of line y=12x+1 with…

Q: Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 intersect at the origin. are coincident. are…

A: This question is based on straight line intersection.

Q: 6. What is the equation of the line joining the points (3, 4) and (-2, 5)? Oa. 2x + 3y = 0 Ob.…

A: Topic = Coordinate geometry Correct option = b

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: 14. What is the equation of the line perpendicular to =(x – 6) and passes through the point (-3,2)?…

A:

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given:  where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…

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

A:

Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 +…

A:

Q: Find an equation of the line through the point (1, 2) that is perpendicular to the line y =-x+3…

A: We have to find the equation of the line through (1,2) and perpendicular to y=-1/3x+3

Q: 8. Find a line uniquely parallel to the line 3x-4y+12=0.

A:

Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

A:

Q: how that the lines x- 7y – 22 =0, 3x+4y +9 = 0 and 7x + y – 54 = 0 form a right angled osceles…

A:

Q: Q1/The line joining origin and point of inter section of the lines (x = 1 + 2t, y = -3 + 4t, z %3D =…

A:

Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: nd the point of intersection of the lines: = 4x + 1 and y = -2x + 4 1,2) 1,2) 2,9) ,3)

A: All points of intersection satisfy both curve(lines) .  Hence , for point of intersection  We equate…

Q: What is the equation of a line that goes through the point (0, 2) and has a sloj y = - x + 2 y = 2x…

A:

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…