Pair of Straight Lines (12th) MockTest (Mathematics) MHT CET 2021
Test Instructions:
- This Mock test contains 15 MCQ questions.
- Choice and sequence for attempting questions will be as per the convenience of the candidate.
- Read each question carefully.
- Determine the one correct answer out of the four available options given for each question.
- Each question awards you 2 point for each question.
- You can end the test any time by clicking “quiz summary>finish quiz”.
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- You can review all questions once again and evaluate your mistakes by clicking “view questions” when the result is displayed.
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- You can re-attempt the exam as per your wish, yet scores of the first attempt will be recorded!
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Question 1 of 15
1. Question
2 point(s)If the co-ordinates of A and B are (1, 1) and (5, 7), then the equation of the perpendicular bisector of the line segment AB is
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Question 2 of 15
2. Question
2 point(s)The equation of the line which cuts off an intercept 3 units on OX and an intercept – 2 units on OY is
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Question 3 of 15
3. Question
2 point(s)For the lines 2x + 5y = 1 and 2x – 5y = 9, which of the following statement is true?
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Question 4 of 15
4. Question
2 point(s)The angle between the lines whose intercepts on the axes are (a, – b) and (b, – a) respectively, is
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Question 5 of 15
5. Question
2 point(s)A straight line through origin bisects the line passing through the given points (a cos⍺, a sin⍺) and (a cos⍺, a sin⍺), then the lines are
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Question 6 of 15
6. Question
2 point(s)The equation of straight line passing through the intersection of the lines x–2y=1 and x+3y=2 and parallel to 3x+4y=0 is
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Question 7 of 15
7. Question
2 point(s)The equation of a line passing through the point of intersection of the lines 4x–3y–1=0 and 5x– 2y – 3 = 0 and parallel to the line 2y – 3x + 2 = 0 is
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Question 8 of 15
8. Question
2 point(s)The equations of two equal sides of an isosceles triangle are 7x – y + 3 = 0 and x + y – 3 = 0 and the third side passes through the point (1, – 10). The equation of the third side is
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Question 9 of 15
9. Question
2 point(s)The vertex of an equilateral triangle is (2, –l) and the equation of its base is x+2y=1.The length of its sides is
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Question 10 of 15
10. Question
2 point(s)The line passing through the points (3, – 4) and (– 2, 6) and a line passing through (– 3, 6) and (9, – 18)
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Question 11 of 15
11. Question
2 point(s)The equation of the line perpendicular to the line x / a – y/ b = 1 and passing through the point at which it cuts X-axis, is
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Question 12 of 15
12. Question
2 point(s)For what values of a and b, the intercepts cut off on the coordinate axes by the line ax+by+8=0 are equal in length but opposite in sign to those cut off by the line 2x – 3y + 6 = 0 on the axes ?
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Question 13 of 15
13. Question
2 point(s)A line passing through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x+4y=1 is
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Question 14 of 15
14. Question
2 point(s)The point (– 4, 5) is the vertex of a square and one of its diagonals is 7x–y+8=0. The equation of the other diagonal is
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Question 15 of 15
15. Question
2 point(s)Two points A and B have co-ordinates (1, 1) and (3, – 2) respectively. The co-ordinates of a point distant √85 from B on the line through B perpendicular to AB are