Home
Class 12
MATHS
Statement 1: there exists a unique sp...

Statement 1: there exists a unique sphere which passes through the three non-collinear points and which has the least radius. Statement 2: The centre of such a sphere lies on the plane determined by the given three points.

A

(a) Both the statements are true, and Statement 2 is the correct explanation for Statement 1.

B

(b) Both the Statements are true, but Statement 2 is not the correct explanation for Statement 1.

C

(c) Statement 1 is true and Statement 2 is false.

D

(d) Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
c
Obiviously the answer is (b).
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise LINKED COMPREHENSION TYPE|12 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise MATRIX-MATCH TYPE|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|17 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

The area of the circle which passes through the point (4,6) and whose centre is (1,2) is-

Find the equation of a line which passes through the point (2,3,4) and which has equal intercepts on the axes.

Statement :Two different lines can be drawn passing through two given points.

Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)dot

Prove that the equation of the plane which passes through the point (2,-3,5) and which is parallel to the yz-plane is x=2 .

Prove that the equation of the plane which passes through the point (2,-3,5) and which is parallel to the yz-plane is x= 2.

Let's try and find the answers : (iii) How many line segments can be drawn through three non-collinear points.

Find the equation of the plane which passes through the points (1,2,3),(2,3,1) and (3,1,2)

Find the equation of the plane which passes through the points (1,2,3) ,(2,3,1) and (3,1,2).

The number of lines which pass through the point (2 , -3) and are the distance 8 from the point (-1 ,2) is