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Question

# Assertion :The spheres x2+y2+z2=64 & x2+y2+z2−12x+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
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B
Both Assertion & Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion
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C
Assertion is true but Reason is false
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D
Assertion is false but Reason is true
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Solution

## The correct option is D Assertion is false but Reason is trueAssertion given is The spheres x2+y2+z2=64 x2+y2+z2−12x+4y−6z+48=0 touch externallyhence Assertion is falseReason 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.

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