JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
The distance of the origin from the centroid of the triangle whose two sides have the equations and and whose orthocenter is is :
- A
- B2
- C2
- D4
More from Straight Lines and Pair of Straight Lines
- Let 1, 2 ( 1 2) be the values of fo the points (, 3), (2, 0) and (1, ) to be collinear. Then the equation of the line, passing through ( 1, 2) and making an angle of …2022 · MCQ
- Let the points of intersections of the lines x y + 1 = 0, x 2y + 3 = 0 and 2x 5y + 11 = 0 are the mid points of the sides of a triangle ABC. Then, the area of the ABC is .2021 · Numerical
- A man starts walking from the point P( 3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then …2021 · Numerical
- Let A( 1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at point P and Q respectively. Let A1 and A2 be the areas of ABC and PQC respectively, such that A1 = 3A2,…2021 · MCQ
- In a triangle PQR, the co-ordinates of the points P and Q are ( 2, 4) and (4, 2) respectively. If the equation of the perpendicular bisector of PR is 2x y + 2 = 0, then the centre of the circumcircle of the PQR is :2021 · MCQ
- The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y 100 and 4x + 3y 75 for x 0 and y 0 is .2021 · Numerical
- Let tan , tan and tan ; , , , n N be the slopes of three line segments OA, OB and OC, respectively, where O is origin. If circumcentre of ABC coincides…2021 · Numerical
- The number of integral values of m so that the abscissa of point of intersection of lines 3x + 4y = 9 and y = mx + 1 is also an integer, is :2021 · MCQ