JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is :
- A3x - 2y = 0
- B7x - 5y = 0
- C2x - 3y = 0
- D5x - 7y = 0
More from Straight Lines and Pair of Straight Lines
- Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of PAB = 5 sq. units and it lies on the line, 3x + y – 4 = 0, then a value of is :2020 · MCQ
- Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x + 3y – 1 = 0 and 3x – y + 1 = 0. Then the line passing through the points C and P also passes through the…2020 · MCQ
- Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such that the perimeter of AOP is 4, is :2019 · MCQ
- A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only in :2019 · MCQ
- If the system of linear equations x – 2y + kz = 1 2x + y + z = 2 3x – y – kz = 3 has a solution (x,y,z), z 0, then (x,y) lies on the straight line whose equation is :2019 · MCQ
- Suppose that the points (h,k), (1,2) and (–3,4) lie on the line L1 . If a line L2 passing through the points (h,k) and (4,3) is perpendicular to L1 , then equals :2019 · MCQ
- 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 :2019 · MCQ
- If the two lines x + (a – 1) y = 1 and 2x + a2y = 1 (a R – {0, 1}) are perpendicular, then the distance of their point of intersection from the origin is :2019 · MCQ