`aa n dc` are unit vectors and `|b|=4` . The angel between `aa n dc` is `cos^(-1)(1//4)a n db-2c=lambdaadot` The value of `lambda` is `3,-4` b. `1//4,3//4` c. `-3,4` d. `-1//4,3//4`

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If x^(n)-1 is divisible by x-lambda, then the least prositive integral value of lambda is 1 b.3 c.4 d.2

Let Aa n dB be two events. Suppose P(A)=0. 4 ,P(B)=p ,a n dP(AuuB)=0. 7. The value of p for which Aa n dB are independent is a.1//3 b. 1//4 c. 1//2 d. 1//5

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Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and the unit vector vec c is inclined at an angle theta to both vec aa n d vec bdot If vec c=m vec a+n vec b+p( vec axx vec b),(m ,n , p in R), then a.pi/4lt=thetalt=pi/4 b. pi/4lt=thetalt=(3pi)/4 c. 0lt=thetalt=pi/4 d. 0lt=thetalt=(3pi)/4

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