Refer to BITSAT Mathematics Straight Lines and Pair Of Straight Lines MCQs provided below available for download in Pdf. The MCQ Questions for Full Syllabus Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by BITSAT, NCERT and KVS. Straight Lines and Pair Of Straight Lines Full Syllabus MCQ are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects
MCQ for Full Syllabus Mathematics Straight Lines and Pair Of Straight Lines
Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Straight Lines and Pair Of Straight Lines in Full Syllabus.
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
MCQs for Straight Lines and Pair Of Straight Lines Mathematics Full Syllabus
Expert teachers of studiestoday have referred to NCERT book for Full Syllabus Mathematics to develop the Mathematics Full Syllabus MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Full Syllabus test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Full Syllabus Mathematics. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter.
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