Home
Class 12
MATHS
The number of rational points on the lin...

The number of rational points on the line joining `(sqrt(5), 3)` and `(3, sqrt(3))` is

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A

Slope of line `= (sqrt(3)-3)/(3-sqrt(5))`
Clearly numerator and denominator have different irrational number. So, there will be no rational point on the line.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM

    CENGAGE|Exercise Comprehension Type|4 Videos
  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE|Exercise Question Bank|1 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise JEE Main Previous Year|6 Videos

Similar Questions

Explore conceptually related problems

The mid point of the line joining (a,-b) and (3a, 5b) is ......

The mid point of the line joining thepoints (1,-1) and (-5,3) is .....

The sum of the rational terms in the expansion of (sqrt(2) + 3^(1/5))^(10) is

Find the slope of a line joining the points (5, sqrt(5)) with origin

Prove that the maximum number of points with rational coordinates on a circle whose center is (sqrt(3),0) is two.

Rationalise the denominator 3(sqrt5)/sqrt6

Le n be the number of points having rational coordinates equidistant from the point (0,sqrt3) , the

The ration in which the line segement joining the points (4,-6) and (3,1) is divided by the parabola y^2=4x is (a) (-20+-sqrt(155))/(11):1 (b) (-20+-sqrt(155))/(11):2 (c) -20+-2sqrt(155): 11 (d) -20+-sqrt(155): 11