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Since given there are four alternatives in which one or more are correct,we have to consider the following four cases
The candidate choose 1 correct answer, 2 correct answers,3 correct answers or 4 correct answers.
1 correct answer can be chosen in 4C1 ways = 4 ways
2 correct answer can be chosen in 4C2 ways= 6 ways
3 correct answers can be chosen in 4C3ways = 4 ways
4 correct answers can be chosen in4C4 ways = 1 way
Hence the totalnumber of ways = 4 + 6 + 4+ 1=15ways
Equation of circle is
Applying completing the square method
Comparing the above equation with we get center as (-3,3) and radius as .
As centre of the circlre lies on diameter , it will satisfy the equation of diameter, so on putting (-3,3) in equation of diameter we get
The distance of the point ( 3, 4, 5) from X- axis is
let L be the foot of perpendicular from the point ( 3, 4, 5) to X axis ,then coordinate of L will be (3,0,0) [ because on X axis y and z coordinate are zero]
then distance of the point ( 3, 4, 5) from X- axis i.e. from L (3,0,0) is given by =
If n is a rational number, which is not a whole number, then the number of terms in the expansion of is