Home
Class 12
MATHS
A line x=k intersects the graph of y=lo...

A line x=k intersects the graph of `y=log_4 x` and `y=log_4 (x + 4)`. The distance between the points of intersection is 0.5, then the value of k is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
We have `log_(4)(k+4)-log_(4)x=0.5`
`rArr "log"_(4)(k+4)/(k)=0.5`
`rArr (k+4)/(k)=2`
`rArr k = 4`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise JEE Previous Year|5 Videos

Similar Questions

Explore conceptually related problems

A line x=lamda intersects the graph of y=log_5 x and y=log_5(x+4) .The distance between the point of intersection is 0.5. Given lamda=a+sqrtb ,where a and b are integers , the value of (a+b) is

The distance between the points (0,0) and the intersecting point of the graphs of x= 3 and y = 4 is

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

The number of points of intersection of the curves |y|=|ln|x|| and y=mx is two,if

The coordinates of the point of intersection of the lines 3x+4y-18=0 and 4x-5y+7=0 are

Let theta be the acute angle between the curves y=x^(x)ln x and y=(2^(x)-2)/(ln2) at their point of intersection on the line y=0. The value of tan theta is equal to

Cosine of the acute angle between the curve y=3^(x-1)log_(e)x and y=x^(x)-1 , at the point of intersection (1,0) is