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MCQ for Full Syllabus Mathematics Straight Lines and Pair Of Straight Lines
Full Syllabus Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Straight Lines and Pair Of Straight Lines
Straight Lines and Pair Of Straight Lines MCQ Questions Full Syllabus Mathematics with Answers
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
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Important Practice Resources for BITSAT Mathematics
MCQs for Straight Lines and Pair Of Straight Lines Mathematics Full Syllabus
Students can use these MCQs for Straight Lines and Pair Of Straight Lines to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for Full Syllabus Mathematics released by BITSAT. Our expert teachers suggest that you should practice daily and solving these objective questions of Straight Lines and Pair Of Straight Lines to understand the important concepts and better marks in your school tests.
Straight Lines and Pair Of Straight Lines NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for Full Syllabus. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Straight Lines and Pair Of Straight Lines, you should also refer to our NCERT solutions for Full Syllabus Mathematics created by our team.
Online Practice and Revision for Straight Lines and Pair Of Straight Lines Mathematics
To prepare for your exams you should also take the Full Syllabus Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.
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