1. Find the number of points of intersection of x + y = 2 and x^2 + y^2 = 1 ?

2. Find the value of 10^(log7 to base 10) ?

1. Answer:None

Solution:Substituting y = 2 – x from first in the second x^2 + (2 – x)^2 = 1, we get 2x^2 – 4x + 3 = 0 which has discriminant value -8. Hence there are no points of intersection.

2. Answer:7

Solution:If log7 to base 10 is x, then 10^x = 7. But the given expression is precisely 10^x and so it must be 7.

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