Home
Class 12
MATHS
Statement-1: There are pge8 points in sp...

Statement-1: There are `pge8` points in space no four of which are in the same with exception of `q ge3` points which are in the same plane, then the number of planes each containing three points is `.^(p)C_(3)-.^(q)C_(3)`.
Statement-2: 3 non-collinear points alwasy determine unique plane.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
D

Number of planes each containing three points
`=.^(p)C_(3)-.^(q)C_(3)+1`
`therefore`Statement-1 is false and statement-2 is always true.
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|17 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Permutations and Combinations Exercise 5: Matching Type Questions|1 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that that can be formed joining the point.

There are 18 points in a plane such that no three of them are in the same line except five points which are collinear. The number of triangles formed by these points, is

There are 12 points in a plane of which 5 points are collinear, then the number of lines obtained by joining these points in pairs is ""^(12)C_(2) - ""^(5)C_(2) .

There are 'p' points in space of which 'q' points are coplanar. Then the number of planes formed is

There are 15 points in a plane, no three of which are in the same straight line with the exception of 6, which are all in the same straight line. Find the number of i. straight lines formed, ii. number of triangles formed by joining these points.

There are 12 points in a plane of which 5 are collinear. Except these five points no three are collinear, then

There are 16 points in a plane of which 6 points are collinear and no other 3 points are collinear.Then the number of quadrilaterals that can be formed by joining these points is