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JEE 2020 Mathematics : Straight Line-01 (27.08.2019)

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Question 1

The equation x3 - yx2 + x - y = 0 repesents

Question 2

A straight line through the point of intersection of the lines x + 2y = 4 and 2x + y = 4 meets the coordinates axes at A and B. The locus of the midpoint of AB is

Question 3

The points (0, 1), (–2, 3), (6, 7) and (8, 3) are-

Question 4

The equation of straight line passing through (–a,0) and making the triangle with axes of area ‘T’ is

Question 5

If the straight lines x+3y=4, 3x+y=4 and x+y=0 form a triangle, then the triangle is

Question 6

Equation of the bisector of angle B of the triangle ABC is y = x. If A is (2, 6) and B is (1, 1); equation of side BC is

Question 7

Vertex opposite to the side x + y – 2 = 0 of the equilateral triangle, with centroid at the origin; is

Question 8

A line passing through the point (2, 2) and the axes enclose an area . The intercepts on the axes made by the line are given by the two roots of

Question 9

Let P ≡ (-1, 0), Q ≡ (0, 0) and R ≡ (3, 3√3) be three points. Then the equation of the bisector of the angle PQR is

Question 10

If x1,x2,x3 and y1,y2,y3 are both in G.P. with the same common ratio, then the points (x1,y1)(x2,y2) and (x3,y3)
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Dec 18JEE & BITSAT