CBSE Class 11 Mathematics Chapter 10 Straight Lines Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Straight Lines with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Straight Lines MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Straight Lines with Answers - Set - 1
Question 1:
Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are parallel 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
Correct Answer – (A)
Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are parallel if
a1/a2 = b1/b2 ≠ c1/c2
Question 2 :
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
Correct Answer – (C)
Equation of the line passing through (x1, y1) and slope m is
(y – y1) = m(x – x1)
Now, required line is
(y – 0 ) = m(x – 0)
⇒ y = mx
Question 3 :
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
Correct Answer – (C)
Given, the point (2, 3) and slope of the line is 2
By, slope-intercept formula,
y – 3 = 2(x – 2)
⇒ y – 3 = 2x – 4
⇒ 2x – 4 – y + 3 = 0
⇒ 2x – y – 1 = 0
Question 4 :
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
Correct Answer – (A)
Let the equation of the line be x/a + y/b = 1 which cuts off intercepts a and b with
the coordinate axes.
It is given that a = b, therefore the equation of the line is
x/a + y/a = 1
⇒ x + y = a …..1
But it is passes through (α, β)
So, α + β = a
Put this value in equation 1, we get
x + y = α + β
Question 5 :
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
Correct Answer – (C)
Given straight line is: y = 3x + 1
Slope = 3
Now, required line is parallel to this line.
So, slope = 3
Hence, the line is
y – 2 = 3 × (x – 1)
MCQ Class 11 Mathematics Straight Lines with Answers
Question 6 :
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)
Correct Answer – (C)
Given, lines are:
x – 2y = 5 ………. 1
and y – 2x = 5 ………. 2
From equation 1,
x – 5 = 2y
⇒ y = x/2 – 5/2
Here, m1 = 1/2
From equation 2,
y = 2x + 5
Here. m2 = 2
Now, tan θ = |(m1 + m2)/{1 + m1 × m2}|
= |(1/2 + 2)/{1 + (1/2) × 2}|
= |(5/2)/(1 + 1)|
= |(5/2)/2|
= 5/4
⇒ θ = tan-1 (5/4)
Question 7 :
The slope of the line ax + by + c = 0 is
(a) a/b
(b) -a/b
(c) -c/b
(d) c/b
Correct Answer – (B)
Give, equation of line is ax + by + c = 0
⇒ by = -ax – c
⇒ y = (-a/b)x – c/b
It is in the form of y = mx + c
Now, slope m = -a/b
Question 8 :
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
Correct Answer – (D)
Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are coincident if
a1/a2 = b1/b2 = c1/c2
Question 9 :
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
Correct Answer – (B)
Let θ be the angle of inclination of the given line with the positive direction of x-axis in the anticlockwise sense.
Then its slope is given by m = tan θ
Given, slope is positive
⇒ tan θ < 0
⇒ θ lies between 0 and 180 degree
⇒ θ is an obtuse angle
Question 10 :
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.
Correct Answer – (B)
Let the coordinate of the variable point P is (x, y)
Now, the abscissa of this point = x
and its ordinate = y
Given, abscissa = ordinate
⇒ x = y
⇒ x – y = 0
So, the locus of the point is x – y = 0
- NCERT Solutions Class 11 Mathematics Straight Lines with Answers : Exercise 10.1
- NCERT Solutions Class 11 Mathematics Straight Lines with Answers : Exercise 10.2
- NCERT Solutions Class 11 Mathematics Straight Lines with Answers : Exercise 10.3
- NCERT Solutions Class 11 Mathematics Straight Lines with Answers : Exercise 10 Misc
- NCERT Solutions Class 11 Mathematics Textbook download
