Straight Lines: JEE Main Mathematics Previous Year Questions

442 previous year questions from Straight Lines. Here are the 25 most important ones; open any question for the correct answer and a full step-by-step solution.

1. $Suppose the hypotenuse and its opposite vertex of an isosceles right angled triangle are 3 x + 4 y - 4 = 0 and (2, 2) respectively. Then, which of the f\dots$
2. $Let A (a, b), B (3, 4) and (- 6, - 8) respectively denote the centroid, circumcentre and orthocentre o\dots$
3. $The lines p (p^{2} + 1) x - y + q = 0 and (p^{2} + 1)^{2} x + (p^{2} + 1) y + 2 q = 0 are perpendicular to a line L for$
4. $The sum of the squares of the intercepts made the line 5 x - 2 y = 10 on the coordinate axes equals$
5. $Slope of a line passing through P (2, 3) and intersecting the line x + y = 7 at a distance of 4 units from P, is:$
6. $If the algebraic sum of the perpendicular distances from the points (2, 0), (0, 2) and (1, 1) to a\dots$
7. $Let α, β, γ be three non-zero real constants and a, b, c De three arbitrary real numbers which satisfy\dots$
8. $Let a, b, c and d be non-zero numbers. If the point of intersection of the lines 4 ax + 2 ay + c = 0 and 5 bx + 2 by + d - 0 lies\dots$
9. $For l \in R, the equation (2 l - 3) x^{2} + 2 l xy - y^{2} = 0 represents a pair of distinct lines$
10. $If the equation of the straight line passing through the point of intersection of x + 2 y - 19 = 0, x - 2 y - 3 = 0 and which is at a perpendicular distance of 5 units from th\dots$
11. $The point to which the origin should be shifted so that the equation y^{2} - 6 y - 4 x + 13 = 0 is transformed to the form y^{2} + Ax = 0 is$
12. $The line x + y = k meets the pair of straight lines x^{2} + y^{2} - 2 x - 4 y + 2 = 0 at two points A and B . If O is the origin and ∠ AOB = 90^{\circ} \dots$
13. $Find the transformed equation of x cos θ + y sin θ = p, when the axes are rotated through an angle θ .$
14. $Angles made with the X -axis by the two lines passing through the point P (1, 2) and cutting the line x + y = 4 at a distance \frac{6}{3} \dots$
15. $Let two points be A (1, - 1) and B (0, 2) . If a point P (x^{’}, y^{’}) be such that the area of\dots$
16. $A line passes through (2, 2) and is perpendicular to the line 3 x + y = 3 . Its y -intercept is$
17. $A homogeneous equation of second degree in x and y represents which of the following?$
18. $A straight line is drawn through the point A (1, 2) such that its point of intersection with the straight line x + y = 4 is at a distance\dots$
19. $The midpoint of the diagonal of a rectangle formed by x^{2} + 5 x - 6 = 0 and y^{2} - 8 y - 20 = 0 is$
20. $If the sum of squares of all real values of α, for which the lines 2 x - y + 3 = 0, 6 x + 3 y + 1 = 0 and αx + 2 y - 2 = 0 do not form a triangle is p, then the\dots$
21. $The centroid of the triangle formed by the lines x + y = 1 and 2 y^{2} - xy - 6 x^{2} = 0 is$
22. $The angle between the lines sin^{2} α \cdot y^{2} - 2 xy \cdot cos^{2} α + (cos^{2} α - 1) x^{2} = 0 i\dots$
23. $If 9 x^{2} - 24 xy + 16 y^{2} + αx + βy + 6 represents a pair of parallel lines of 1 unit apart and one of those lines passes through\dots$
24. $The equation of straight line which passes through the point (a cos^{3} θ, a sin^{3} θ) and perpendicular to\dots$
25. $If 3 x^{2} + xy - y^{2} - 3 x + 6 y + k = 0 represents a pair of lines, then k =$

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Straight Lines: JEE Main Mathematics Previous Year Questions

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