1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with the line having an equation 2x+y-5=0. a. 3x + y + 1 = 0, x + 2y - 7 =0 b. 3x - y + 1 = 0, x + 3y - 11 =0 c. 2x - 3y - 14 = 0, x + 3y - 11 = 0 d. 2x - 3y + 14 = 0, x + 3y - 11 =0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with the line
having an equation 2x+y-5=0.
a. 3x + y + 1 = 0, x + 2y - 7 =0
b. 3x - y + 1 = 0, x + 3y - 11 =0
c. 2x - 3y - 14 = 0, x + 3y - 11 = 0
d. 2x - 3y + 14 = 0, x + 3y - 11 =0

 

2.  Find the polar equation of the circle with radius 3/2 and the center in polar coordinates at (3/2,π). 

 

3. Find the angle between the lines AB and CD, where A: (2,-4,3), B: (-1,3,-2), C: (5,-2,1), D: (4,1,6).
    a. 90 b. 91.06 c. 81.05 d. 85.5

 

4. Find the angle between the planes 4x-2y+6z+15=0 and 15x+10y-5z-27=0.
a. 82◦
b. 83◦57′
c. 85◦54′
d. 87◦54′

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