Straight Lines - 2 - JEE MCQ

# Straight Lines - 2 - JEE MCQ

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## 30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Straight Lines - 2

Straight Lines - 2 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Straight Lines - 2 questions and answers have been prepared according to the JEE exam syllabus.The Straight Lines - 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Straight Lines - 2 below.
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Straight Lines - 2 - Question 1
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Straight Lines - 2 - Question 2
Detailed Solution for Straight Lines - 2 - Question 2

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Straight Lines - 2 - Question 3
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Straight Lines - 2 - Question 4

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Straight Lines - 2 - Question 5

Triangle formed by the lines  x + y = 0 , x – y = 0   and  lx + my = 1. If l and m vary subject to the condition l2 + m2 = 1  then the locus of its circumcentre is

Detailed Solution for Straight Lines - 2 - Question 5

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Detailed Solution for Straight Lines - 2 - Question 8

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Detailed Solution for Straight Lines - 2 - Question 9

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Detailed Solution for Straight Lines - 2 - Question 10

Straight Lines - 2 - Question 11

Detailed Solution for Straight Lines - 2 - Question 11

Straight Lines - 2 - Question 12

Detailed Solution for Straight Lines - 2 - Question 12

Straight Lines - 2 - Question 13

Through a point A on the x-axis a straight line is drawn parallel to y-axis so as to meet the pair of straight lines ax2 + 2hxy + by2 = 0 in B and C. If AB = BC then

Detailed Solution for Straight Lines - 2 - Question 13

Straight Lines - 2 - Question 14

Triangle formed by the lines x + y = 0 , x – y = 0 and lx + my = 1. If l and m vary subject to the condition l2 + m2 = 1, then the locus of its circumcentre is

Detailed Solution for Straight Lines - 2 - Question 14

Straight Lines - 2 - Question 15

Let a, b, c ∈ R and satisfying (a + c)2 + 4b2 – 4ab – 4bc = 0 then the variable line ax + by + c = 0 passes through a fixed point whose co-ordinates are

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Straight Lines - 2 - Question 16

If all lines given by the equation (3 sin θ + 5 cos θ)x + (7 sin θ – 3 cos θ) y + 11(sin θ – cos θ) = 0 pass through a fixed point P for all θ ∈ R, then find the distance of P from Q(7, – 10).

Detailed Solution for Straight Lines - 2 - Question 16

Straight Lines - 2 - Question 17

If a, b, c form an A.P. with common difference d (≠ 0) and x, y, z form a G.P. with common ratio r ( ≠1), then the area of the triangle with vertices (a, x), (b, y) and (c, z) is indepedent of

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Straight Lines - 2 - Question 18

Detailed Solution for Straight Lines - 2 - Question 18

Straight Lines - 2 - Question 19

The line  x + 3y - 2 = 0  bisects the angle between a pair of straight lines of which one has equation x - 7y + 5 = 0 . The equation of the other line is :

Detailed Solution for Straight Lines - 2 - Question 19

Straight Lines - 2 - Question 20

Detailed Solution for Straight Lines - 2 - Question 20

Straight Lines - 2 - Question 21

Detailed Solution for Straight Lines - 2 - Question 21

Straight Lines - 2 - Question 22

Vertices of a parallelogram ABCD are A(3, 1), B(13, 6), C(13, 21) and D(3, 16). If a line passing through the origin divides the parallelogram into two congruent parts then the slope of the line is

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Straight Lines - 2 - Question 23

Detailed Solution for Straight Lines - 2 - Question 23

Straight Lines - 2 - Question 24

The lines y = mx + b and y = bx + m intersect at the point (m – b, 9), where m ≠ b. The sum of the x-intercepts of the lines is

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Straight Lines - 2 - Question 26

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Straight Lines - 2 - Question 27

Points  A & B are in the first quadrant ;  point 'O' is the origin . If the slope of OA is 1, slope of OB is 7 and OA = OB, then the slope of AB is :

Detailed Solution for Straight Lines - 2 - Question 27

Straight Lines - 2 - Question 28

Detailed Solution for Straight Lines - 2 - Question 28

Straight Lines - 2 - Question 29

A circle of constant radius  ' a '  passes through origin ' O '  and cuts the axes of co-ordinates in points P and Q, then the equation of the locus of the foot of perpendicular from O to PQ is :

Detailed Solution for Straight Lines - 2 - Question 29

Straight Lines - 2 - Question 30

Detailed Solution for Straight Lines - 2 - Question 30

## Mathematics (Maths) for JEE Main & Advanced

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## Mathematics (Maths) for JEE Main & Advanced

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