JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3. If R and r be the radius of circumcircle and incircle respectively of ABC, then (R + r) is equal to :
- A
- B
- C
- D
More from Straight Lines and Pair of Straight Lines
- Consider a triangle having vertices A( 2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of triangle ABC, bisects line BC, and intersects y-axis at point , then the value of…2021 · Numerical
- A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axes is . Three stones A, B and C are placed at the points (1, 1), (2, 2) and (4, 4) respectively.…2021 · MCQ
- The image of the point (3, 5) in the line x y + 1 = 0, lies on :2021 · MCQ
- The intersection of three lines x y = 0, x + 2y = 3 and 2x + y = 6 is a :2021 · MCQ
- Let A be a fixed point (0, 6) and B be a moving point (2t, 0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :2021 · MCQ
- The point P (a, b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle about…2021 · MCQ
- Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of the parallelogram is 11x + 7y = 9, then other diagonal passes through the point :2021 · MCQ
- If p and q are the lengths of the perpendiculars from the origin on the lines, x cosec y sec = k cot 2 and x sin + y cos = k sin2 respectively, then k2 is equal to :2021 · MCQ