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Straight Lines - Past Year Questions

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Q1:

Let A(1,3)A(1,3) and B(5,1)B(5,1) be two points. If a line with slope mm intersects ABAB at an angle of 45°45°, then the possible values of mm are
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Q2:

The area of the triangle, formed by the straight lines y=0,12x−5y=0,y = 0, 12x - 5y = 0, and 3x+4y=73x + 4y = 7 is
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Q3:

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
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Q4:

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
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Q5:

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
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Q6:

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 =
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Q7:

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
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Q8:

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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Q9:

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

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