Question

Assertion :The spheres $x^2+y^2+z^2=64$ & $x^2+y^2+z^2-12x+4y-6z+48=0$ touch externally Reason: The distance between the centres of spheres is equal to the sum of their radii

• A. Both Assertion & Reason are individually true & Reason is correct explanation of Assertion
• B. Both Assertion & Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion
• C. Assertion is true but Reason is false
• D. Assertion is false but Reason is true

Answer 1

The correct option is D Assertion is false but Reason is true

Assertion given is The spheres $x^2+y^2+z^2=64$

$x^2+y^2+z^2-12x+4y-6z+48=0$ touch externally

hence Assertion is false

Reason given is the distance between the centres of spheres is equal to the sum of their radii.

hence Assertion is false but Reason is true.