Home
Class 12
MATHS
A line passing through the point of inte...

A line passing through the point of intersection of `x + y = 4` and `x - y = 2` makes an angle `tan^-1 (3/4)` with the x-axis. It intersect the parabola `y^2 = 4(x-3)` at points `(x_1, y_1)` and `(x_2, y_2)` respectively. Then,`|x_1 - x_2|` is equal to

A

`(16)/(9)`

B

`(32)/(9)`

C

`(40)/(9)`

D

`(80)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)|32 Videos

  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos

  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

The line passing through the point of intersection of x+y=2,x-y=0 and is parallel to x+2y=5, is

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

A line passes through the point of intersection of 2x+y=5 and x+3y+8=0 and paralled to the 3x+4y=7 is

The equation of a line passing through the point of intersection of line 2x+3y +1=0 and 3x- 5y -5=0 and making an angle of 45^(@) with positive X-axis is

If a line passes through the point of intersection of the lines 2x+y=5,x-y=1 and having slope 2 then it also passes through the point

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

Find the equation of the line through the point of intersection of x+2y=5 and x-3y=7 and passing through the point (0, -1)