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Practice Straight Lines and Pair Of Straight Lines MCQs for BITSAT Mathematics
Are you studying BITSAT Mathematics? Look at these 50 questions with answers to make your core concepts of Straight Lines and Pair Of Straight Lines very clear.
Straight Lines and Pair Of Straight Lines Questions & Answers (BITSAT Mathematics)
Question: Given the system of straight lines a(2x + y – 3) + b(3x + 2y – 5) = 0, the line of the system situated farthest from the point (4, –3) has the equation
- a) 4x + 11y – 15 = 0
- b) 7x + y – 8 = 0
- c) 4x + 3y – 7 = 0
- d) 3x – 4y + 1 = 0
Answer: 3x – 4y + 1 = 0
Question: The angle between the lines whose intercepts on the axes are a, –b and b, –a respectively , is
- a)
- b)
- c)
- d) None of these
Answer:
Question: A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5, 3). The co-ordinates of the point A is
- a)
- b)
- c) (–7, 0)
- d) None of these
Answer:
Question: The eq. x2 - 2 √3xy + 3y2 -3x + 3 √3y - 4 = 0 represents
- a) A pair of intersecting lines
- b) a pair of parallel lines with distance between them
- c) A pair of parallel lines with distance between them 5 √2
- d) A conic section, which is not a pair of straight lines
Answer: a pair of parallel lines with distance between them
Question: If P1 and P2 be the length of perpendiculars from the origin upon the straight lines x secθ + ycosecθ = a and x cosθ – y sinq = a cos2θ respectively, then the value of 4P1 2 + P2 2.
- a) a2
- b) 2a2
- c) a2/2
- d) 3a2
Answer: a2
Question: The quadratic equation whose roots are the x and y intercepts of the line passing through (1, 1) and making a triangle of area A with the coordinate axes is
- a) x2 + Ax + 2A = 0
- b) x2 - 2Ax + 2A = 0
- c) x2 -Ax + 2A = 0
- d) None of these
Answer: x2 - 2Ax + 2A = 0
Question: If 4a2 + b2 + 2c2 + 4ab – 6ac – 3bc = 0, the family of lines ax + by + c = 0 is concurrent at one or the other of the two points-
- a)
- b)
- c)
- d)
Answer:
Question: The nearest point on the line 3x + 4y = 12 from the origin is
- a)
- b)
- c)
- d) None of these
Answer:
Question: The distance of the point (–1, 1) from the line 12(x + 6) = 5 (y – 2) is
- a) 2
- b) 3
- c) 4
- d) 5
Answer: 5
Question: The family of straight lines (2a + 3b) x + (a – b) y+2a–4b= 0 is concurrent at the point
- a)
- b)
- c)
- d)
Answer:
Question: The reflection of the point (4, –13) in the line 5x + y + 6 = 0 , is
- a) (–1, –14)
- b) (3, 4)
- c) (1, 2)
- d) (–4, 13)
Answer: (–1, –14)
Question: If the equations of the pairs of opposite sides of a parallelogram are x2 – 5x + 6 = 0 and y2 – 6y + 5 = 0, then equations of its diagonals are
- a) x + 4y = 13, y = 4x – 7
- b) 4x +y = 13, 4y = x – 7
- c) 4x + y = 13, y = 4x – 7
- d) y – 4x = 13, y + 4x = 7
Answer: 4x + y = 13, y = 4x – 7
Question: The line 3x – 4y + 7 = 0 is rotated through an angle 
in the clockwise direction about the point (–1, 1). The equation of the line in its new position is
- a) 7y + x – 6 = 0
- b) 7y – x – 6 = 0
- c) 7y + x + 6 = 0
- d) 7y – x + 6 = 0
Answer: 7y + x – 6 = 0
Question: Among the lines passing through C (3, 1) BA is farthest from the origin and cuts the x-axis and y- axis at A and B respectively. Then BC:CA is
- a) 9 : 1
- b) 1 : 9
- c) 3 : 1
- d) √3 : 1
Answer: 9 : 1
Question: The length of the perpendicular from the origin to a line is 7 and line makes an angle of 150° with the positive direction of y-axis the equation of the line is
- a) √3 x + y = 14
- b) √3 x – y = 14
- c) √3 x + y + 14 = 0
- d) √3 x – y + 14 = 0
Answer: √3 x + y = 14
Question: The distance between the parallel lines 9x2 – 6xy + y2 +18x - 6y + 8 = 0 is
- a)
- b)
- c)
- d) None of these
Answer:
Question: Find the distance of the line 2x – 3y = 4 from the point (1, 1) in the direction of the line x + y = 1.
- a) √3
- b) √5
- c) √2
- d) 2
Answer: √2
Question: If the lines 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, then value of b is equal to
- a) 1
- b) 3
- c) 6
- d) 0
Answer: 6
Question: The distance of the point (–1, 1) from the line 12(x + 6) = 5 (y – 2) is
- a) 2
- b) 3
- c) 4
- d) 5
Answer: 5
Question: Given the system of straight lines a(2x + y – 3) + b(3x + 2y – 5) = 0, the line of the system situated farthest from the point (4, –3) has the equation
- a) 4x + 11y – 15 = 0
- b) 7x + y – 8 = 0
- c) 4x + 3y – 7 = 0
- d) 3x – 4y + 1 = 0
Answer: 3x – 4y + 1 = 0
Free study material for Mathematics
Straight Lines and Pair Of Straight Lines Objective Questions & Solutions for BITSAT Mathematics
Chapter MCQs with Answers for BITSAT Mathematics
Explore these MCQs for Straight Lines and Pair Of Straight Lines to assess your knowledge levels instantly. Created per the latest BITSAT guidelines for BITSAT Mathematics, these multiple-choice questions are ideal for regular drills. Consistent problem-solving on these objective tasks secures higher marks in school assessments.
Important Objective Questions & Solutions for Straight Lines and Pair Of Straight Lines
Built strictly from the official NCERT book for BITSAT, these Mathematics objective questions highlight essential exam topics. Compare your final answers against our provided keys after practice. Reviewing our expert NCERT solutions for BITSAT Mathematics will further clarify concepts in Straight Lines and Pair Of Straight Lines.
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FAQs
You can get most exhaustive BITSAT Mathematics Straight Lines and Pair Of Straight Lines MCQs for free on StudiesToday.com. These MCQs for BITSAT Mathematics are updated for the 2026-27 academic session as per BITSAT examination standards.
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