Use the parameter t to write parametric equations representing the given curve. Use only the given points when finding equations. Line passing through (0, 2) and (3, 1) x=2t andy 5t+2 Ox-3+3 and y =+1 x=-2t+ 3 and y = 7t+1 Ox 4t andy 4t+2

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

A:

Q: If x and x are independent coordinates of a point, show that

A:

Q: Find the coordinates of the center of the curve whose equation is 16x2-25y2+160x- 200y+400=0. 4,5 O…

A:

Q: 1. A(-8,4) 2. B(-2,-6) 3. C(5,5) 4. D(0,-8) 5. E(10,-3) 6. F(6,0) 7. 8. H(0,0) 9. I(5,1) 10. J(9,-7)…

A:

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Find an equation of the circle that has center (2, -3) and passes through (-2, 2). 0 0=0 X ? 00 D

A: Given that, The circle has center 2,-3 and passes through -2,2. Find the equation of the circle.…

Q: find the distance from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

A:

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: The line with equation 2x – 3y = 10 touches the circle with centre M(-2, 4) at the point A. Find…

A: