Statement 1: If `cosalpha,cosbeta,a n dcosgamma`are the direction cosinesof any line segment, then `cos^2alpha+cos^2beta+cos^2gamma=1.`Statement 2: If `cosalpha,cosbeta,a n dcosgamma`are the direction cosinesof any line segment, then `cos^2alpha+cos^2beta+cos^2gamma=1.`A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1.B. Both the statements are true, but Statement 2 is not the correct explanation for Statement 1.C. Statement 1 is true and Statement 2 is false.D. Statement 1 is false and Statement 2 is true.

Statement 1: If `cosalpha,cosbeta,a n dcosgamma`are the direction cosi

1.	Statement 1: If `cosalpha,cosbeta,a n dcosgamma`are the direction cosinesof any line segment, then `cos^2alpha+cos^2beta+cos^2gamma=1.`Statement 2: If `cosalpha,cosbeta,a n dcosgamma`are the direction cosinesof any line segment, then `cos^2alpha+cos^2beta+cos^2gamma=1.`A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1.B. Both the statements are true, but Statement 2 is not the correct explanation for Statement 1.C. Statement 1 is true and Statement 2 is false.D. Statement 1 is false and Statement 2 is true.
Answer» Correct Answer - B Obviously, Statement 1 is true. `cos 2alpha + cos 2 beta + cos 2gamma ` `" " = 2cos^(2) alpha -1 = 2cos^(2) beta -1 + 2cos^(2)gamma -1 ` `" " = 2(cos^(2)alpha = cos^(2) beta + cos^(2)gamma) -3 =2 -3 =-1 ` Hence, Statement 2 is true but does not explain Statement 1 as it is resul derived usint the result in the statement.

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