28.(-2, 2) reflected through the x-axis is a. (2,-2) b. (2, 2) с. (-2, -2) d. (-2, 2)

Q: 5) Find the angle between the lines. y+2 %3D z-5 2x – 3 = y + 9 = 2z + 7 & x +1 = | 2 2.

A: Putting the value of drs of line , we can get angle

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

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 equation of the line perpendicular to 3x - 2y = 5 that goes through the point (3, -4). O…

A: Please refer the attached image for complete solution.

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: Perpendicular to the line y=−1/2x+1 containing the point (3,6)

A: Solution is done in step 2

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

A:

Q: Find the angle between the line represented by 2x2+xy-6y2+7y-2=0

A:

Q: 4. Find the distance between the two points S(-5,-2) and T(-3,4).

A:

Q: N Because XYZ intercepts of OP, m/XYZ =mXZ.

A: Given figure: The objective is to find relation between angles m∠XYZ=x{m∠XPZ}

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: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

A:

Q: Find the angle between the straight lines 3x+5y=7 2x-y+4=0

A: We have to find the slopes of the equation first.

Q: What is the image of (-2, 6) after a reflection over the line y :

A:

Q: find the angle between the line represented by 2x2+xy-6y2+7y-2=0

A: Find the angle between pair of straight line

Q: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 4

A:

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

A:

Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

A:

Q: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point…

A: The slope of perpendicular line is given by, -dx/dy

Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

A:

Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

A:

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

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 distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

Q: 4) the line parallel to 4x + 2y = -20 and passing through (10, 10) %3D

A: The general form of line equation is ax+by+c=0, where a,b,c are constants. The slope intercept form…

Q: B) Find Duf of f(x,y.z) x + y? + 2? - 3 at point(1,1,1)in the direction of point (3,5,-3).

A: Take gradient at given point and take dot product with unit vector for directional derivative

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: .What is the image of (- 2, 3) under reflection in the line y = x? (A) (3, – 2) (C) (-2. - 3) (B)…

A: The given line is y=x

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

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 1ど y+1 w that line

A:

Q: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

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: The distance from the point S(-7, -9, 3) to the line x = -7 + 4t, y = -8 + 12t, z=7+3t 2297

A: I have append the formula used in the solution part

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

A:

Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

A:

Q: Determine Duf (4, – 1,6) for f(x, y,z) = e**y + 4zx³ in the direction of (-3,2,6). %3D

A:

Q: 9. Solve for x and y that make the lines parallel.

A:

Q: point

A:

Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

A:

Q: x + 13y + 7z = 4, and 2x + 26y + 7z = 8. Parallel Perpendicular Neither

A:

Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: Find the angle between the lines represented by 2x2+xy-6y2+7y-2=0

A:

Q: Find two numbers y such that the distance from ( - 3, 2) to (5, y) is 10.

A: To find: The value of y. Given: The distance between the two points -3,2 and 5,y is 10. Concept…

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 :