MOTION IN STRAIGHT LINE - L8

Straight Lines L1

Let L_1 be a tangent to the parabola y^(2) = 4(x+1) and L_2 be a tangent to the parabola y^(2) = 8(x+2) such that L_1 and L_2 intersect at right angles. Then L_1 and L_2 meet on the straight line :

Motion In A Straight Line

Straight Line L2

Straight Line L1

Straight Line L3

Let ABC be a triangle in which AB = AC. Let L be the locus of points X inside or on the triangle such that BX = CX. Which of the following statements are correct? 1. L is a straight line passing through A and in-centre of triangle ABC is on L. 2. L is a straight line passing through A and orthocentre of triangle ABC is a point on L. 3. L is a straight line passing through A and centroid of triangle ABC is a point on L. Select the correct answer using the code given below.

In xy-plane, a straight line L_1 bisects the 1st quadrant and another straight line L_2 trisects the 2nd quadrant being closer to the axis of y . The acute angle between L_1 and L_2 is