Condition for Two Lines to Be Parallel
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Write a pair of linear equations which has the unique solution . How many such pairs can you write?
- (14, 13)
- (14, −13)
- (−14, −23)
- (−14, 23)
A line passes through the point of intersection of and and parallel to the line is
Minimize and maximize Z = 5x + 10y subject to constraints are x + 2y ≤ 120, x + y ≥ 60, x - 2y ≥ 0 and x, y ≥ 0.
The equation of the plane which contains the -axis and passes through the point is:
Equation of the line passing through and parallel to the line is
The equation of a line through and perpendicular to the line is:
- (2, 6)
- (2, 1)
- (3, 6)
- (3, 5)
Let be the set of all straight lines in the Euclidean plane. Two lines and are said to be related by the relation iff is parallel to Then the relation is
Only reflexive
Only symmetric
Only transitive
Equivalence
The area of the triangle in the Argand diagram formed by the Complex number , and is
Minimize and miximize Z = x + 2y subject to constraints are x + 2y ≥ 100, 2x - y ≤ 0, 2x + y ≤ 200 and x, y ≥ 0.
The distance between the directrices of the ellipse x236+y220=1 is
8
12
18
24
- x+5y−6z+19=0
- x−5y+6z−19=0
- x+5y+6z+19=0
- x−5y−6z−19=0
- m=23, c=5
- m=−23, c=5
- m=−23, c = any real number
- None of these
- a(x−c)+b(y−d)=0
- a(x−c)−b(y−d)=0
- a(x+c)+b(y+d)=0
- a(x+c)−b(y+d)=0
If is the perpendicular from onto the line , then the coordinates of are
- The lines are all parallel.
- The lines are concurrent at the point (34, 12).
- The lines are not concurrent.
- Each line passes through the origin.
- x–y–9=0
- 23x+7y+3=0
- 2x–y–11=0
- 7x–6y–56=0
- 15:49
- 49:15
- 2:3
- 3:2
- (137, 137)
- (237, 237)
- (317, 317)
- (337, 337)
- 3x+4y=24
- 3x+4y=−24
- 3x+4y=12
- 4x+3y=24
Show that the line joining (2, -3) and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).
The capital of Yemen (a)/ is situating (b)/ 2190 meters above the sea level. (c)/ No error (d)
- a
- b
- c
- d
- (2−√3)x−y=1−2√3
- (2−√3)x+y=1−2√3
- (2+√3)x−y=1+2√3
- (2+√3)x+y=1+2√3
- (−125, 175)
- (−845, 135)
- (−65, 175)
- (−245, 175)