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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
The volume of a sphere is increasing in volume at the rate of 3π cm3 / sec .The rate of change of its radius when radius is 1/2 cm
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