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- Q.2 Let line (L): x = 2t , y = 2 + 5t, z= 3+2t if (a,1,b) lies on line .Find (2a + b)? point1. Write the line parallel to y = -2x + 5 that passes through the point (1,1). a. y = -2x + 1 b. y = -2x + 3 c. y = x + 5 d. y = x + 3 2. Write the line parallel to y = 6x - 1 that passes through the point (-2,1). a. y = 6x - 2 b. y = -2x + 1 c. y = 6x + 13 d. y = x + 13 3. Find the pair of parallel lines. i. 12y + 6x = 2 ii. 6x –12y = 2 iii. –4y = –2x + 2 a. i. and ii. b. i. and iii. c. ii. and iii. d. There is no pair of parallel lines listed above. 4. Which of the following lines is NOT parallel to y = –4x + 3? a. –4y – x = –2 b. –4x – y = –2 c. –8x – 2y = –2 d. y + 4x = –4 5. Write the line parallel to y = x that passes through the point (3,4). a. y = x b. y = x + 3 c. y = x + 4 d. y = x + 1I thought at least meant greater than or equal to. Therefore the correct answer should have been A with the solid line
- Determine whether there exists a constant c such that the line x+cy=6 A. passes thru (4,-10) B. is horazontal C. is vertical In each case, your answer is either the value of c satisfying the requirement, or DNE when such a constant c does not exist.Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 A Intersects at the origin B. Are coincident C. Are parallel D. Are perpendicularshows an offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it on a straight line under water from W to some shore point P between A and B and then on to B via pipe along the shoreline. If the cost of laying pipe is $1,000,000/km under water and $500,000/km over land, where should the point P be located to minimize the cost of laying the pipe ?