Question:medium

The family of straight lines (2a+3b)x+(a-b)y+2a-4b=0 is concurrent at the point:

Show Hint

Concurrency point is obtained by eliminating parameters.

Updated On: Mar 18, 2026

((2)/(5),-(14)/(5))
(-(2)/(5),-(14)/(5))
(-(2)/(5),(14)/(5))
((2)/(5),(14)/(5))

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Top Questions on Straight lines

Rhombus vertices A(1,2), C(-3,-6). Line AD parallel to $7x-y=14$. Find $|\alpha+\beta+\gamma+\delta|$.
- JEE Main - 2026
- Mathematics
- Straight lines
View Solution
Let the angles made with the positive $x$-axis by two straight lines drawn from the point $P(2,3)$ and meeting the line $x+y=6$ at a distance $\sqrt{\frac{2}{3}}$ from the point $P$ be $\theta_1$ and $\theta_2$. Then the value of $(\theta_1+\theta_2)$ is
- JEE Main - 2026
- Mathematics
- Straight lines
View Solution
If two lines drawn from a point $P(2,3)$ intersect the line $x+y=6$ at a distance $\sqrt{\dfrac{2}{3}}$, then the angle between the lines is
- JEE Main - 2026
- Mathematics
- Straight lines
View Solution
If two lines drawn from a point $P(2,3)$ intersect the line $x+y=6$ at a distance $\sqrt{\dfrac{2}{3}}$, then the angle between the lines is
- JEE Main - 2026
- Mathematics
- Straight lines
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics