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Free download in PDF Class 11 Maths Chapter 10 Straight Lines Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>
(1)
If two vertices of a triangle are (3, -2) and (-2, 3) and its orthocenter is (-6, 1) then its third vertex is
[A]
(5, 3)
[B]
(-5, 3)
[C]
(5, -3)
[D]
(-5, -3)
(2)
The angle between the lines x – 2y = y and y – 2x = 5 is
[A]
tan-1 (1/4)
[B]
tan-1 (3/5)
[C]
tan-1 (5/4)
[D]
tan-1 (2/3)
(3)
The equation of straight line passing through the point (1, 2) and parallel to the line y = 3x + 1 is
[A]
y + 2 = x + 1
[B]
y + 2 = 3 × (x + 1)
[C]
y – 2 = 3 × (x – 1)
[D]
y – 2 = x – 1
Answer: y – 2 = 3 × (x – 1)
(4)
The locus of a point, whose abscissa and ordinate are always equal is
[A]
x + y + 1 = 0
[B]
x – y = 0
[C]
x + y = 1
[D]
none of these.
(5)
The equation of the line passing through the point (2, 3) with slope 2 is
[A]
2x + y – 1 = 0
[B]
2x – y + 1 = 0
[C]
2x – y – 1 = 0
[D]
2x + y + 1 = 0
(6)
What can be said regarding if a line if its slope is zero
[A]
θ is an acute angle
[B]
θ is an obtuse angle
[C]
Either the line is x-axis or it is parallel to the x-axis.
[D]
None of these
Answer: Either the line is x-axis or it is parallel to the x-axis.
(7)
The equation of the line which cuts off equal and positive intercepts from the axes and passes through the point (α, β) is
[A]
x + y = α + β
[B]
x + y = α
[C]
x + y = β
[D]
None of these
(8)
The sum of squares of the distances of a moving point from two fixed points (a, 0) and (-a, 0) is equal to 2c² then the equation of its locus is
[A]
x² – y² = c² – a²
[B]
x² – y² = c² + a²
[C]
x² + y² = c² – a²
[D]
x² + y² = c² + a²
Answer: x² + y² = c² – a²
(9)
The locus of a point, whose abscissa and ordinate are always equal is
[A]
x + y + 1 = 0
[B]
x – y = 0
[C]
x + y = 1
[D]
none of these.
(10)
Two lines are perpendicular if the product of their slopes is
[A]
0
[B]
1
[C]
-1
[D]
None of these
(11)
Equation of the line passing through (0, 0) and slope m is
[A]
y = mx + c
[B]
x = my + c
[C]
y = mx
[D]
x = my
(12)
The equation of the locus of a point equidistant from the point A(1, 3) and B(-2, 1) is
[A]
6x – 4y = 5
[B]
6x + 4y = 5
[C]
6x + 4y = 7
[D]
6x – 4y = 7
(13)
The equation of the line through the points (1, 5) and (2, 3) is
[A]
2x – y – 7 = 0
[B]
2x + y + 7 = 0
[C]
2x + y – 7 = 0
[D]
x + 2y – 7 = 0
(14)
y-intercept of the line 4x – 3y + 15 = 0 is
[A]
-15/4
[B]
15/4
[C]
-5
[D]
5
(15)
Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are parallel if
[A]
n/(n+1)
[B]
1/(n+1)
[C]
1/n
[D]
None of these
Answer: a1/a2 = b1/b2 ≠ c1/c2
(16)
The slope of the line ax + by + c = 0 is
[A]
a/b
[B]
-a/b
[C]
-c/b
[D]
c/b
(17)
The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis. Then the equation of line is
[A]
x + y = 14
[B]
√3y + x = 14
[C]
√3x + y = 14
[D]
None of these
(18)
What can be said regarding if a line if its slope is negative
[A]
θ is an acute angle
[B]
θ is an obtuse angle
[C]
Either the line is x-axis or it is parallel to the x-axis.
[D]
None of these
Answer: θ is an obtuse angle
(19)
Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are coincedent if
[A]
a1/a2 = b1/b2 ≠ c1/c2
[B]
a1/a2 ≠ b1/b2 = c1/c2
[C]
a1/a2 ≠ b1/b2 ≠ c1/c2
[D]
a1/a2 = b1/b2 = c1/c2
Answer: a1/a2 = b1/b2 = c1/c2
(20)
In a ΔABC, if A is the point (1, 2) and equations of the median through B and C are respectively x + y = 5 and x = 4, then B is
[A]
(1, 4)
[B]
(7, – 2)
[C]
none of these
[D]
(4, 1)
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