Mathematics
Assertion (A) : The mean proportion of is 1. Reason (R) : Mean proportion of x = (a - b) and y = (a + b) is 1/2(x + y) . 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.
Related Questions
Assertion (A) : For quadratic equation 2x2 + 6x + 3 = 0, roots are real and equal.
Reason (R) : If for a quadratic equation ax2 + bx + c = 0, where a, b and c ∈ R and a = 0, then if discriminant > 0 and perfect square, implies roots of the quadratic equation are real, distinct and rational.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Assertion (A) : If x and y are positive and (2x2 - 5y2) : xy = 1 : 3, then x : y = 3 : 5.
Reason (R) : If four quantities a, b, c and d form a proportion, then Componendo and dividendo property states that :
(a + c) : (a - c) = (b - d) : (b + d)
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Assertion (A) : If polynomial p(x) = x51 - 51 is divided by polynomial g(x) = x - 1, the remainder is 0.
Reason (R) : When a polynomial p(x) is divided by polynomial g(x - a), the remainder is p(a).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.