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Straight Lines - Past Year Questions

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Q1:

The value of kk for which the following lines are concurrent is
x−y−1=02x+3y−12=02x−3y+k=0x-y-1=0 \newline 2x+3y-12=0 \newline 2x-3y+k=0
Answer options
Option: 3
Correct Answer
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Q2:

The x-intercept of the line that passes through the intersection of the lines x+2y=4x + 2y = 4 and 2x+3y=62x + 3y = 6, and is perpendicular to the line 3x−y=23x - y = 2 is
Answer options
Option: 4
Correct Answer
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Q3:

Consider the polynomials f(x)=ax2+bx+cf(x) = ax^2 + bx + c, where a>0,b,ca > 0, b, c are real, g(x)=−2xg(x) = -2x. If f(x)f(x) cuts the x-axis at (−2,0)(-2, 0) and g(x)g(x) passes through (a,b)(a, b), then the minimum value of f(x)+9a+1f(x) + 9a + 1 is
Answer options
Option: 2
Correct Answer
Explanation →

Q4:

If one of the lines given by the equation 2x2+axy+3y2=02x^2 + axy + 3y^2 = 0 coincides with one of those given by 2x2+bxy−3y2=02x^2 + bxy - 3y^2 = 0 and the other lines represented by them are perpendicular then a2+b2=a^2+b^2 =
26
Correct Answer
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Q5:

The equation of the straight line passing through the point M(−5,4)M (-5,4), such that the portion of it between the axes is divided by the point MM into two equal halves, is
Answer options
Option: 1
Correct Answer
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Q6:

Two points on a ground are 1 m apart. If a cow moves in the field in such a way that its distance from the two points is always in ratio 3:23: 2 then
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Option: 2
Correct Answer
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Q7:

The maximum distance between the point (−5,0)(-5, 0) and a point on the circle x2+y2=4x^2 + y^2 = 4 is
7
Correct Answer
Explanation →

Straight Lines - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Straight Lines Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!