Mathematics
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.
Related Questions
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.
Assertion (A) : The value of 'a' if the division of ax3 + 9x2 + 4x - 10 by x + 3 leaves remainder 5 is -2.
Reason (R) : If f(x), a polynomial in x, is divided by x - a. Then f(x) = (x - a) Quotient + Remainder. Putting x = a on both sides we obtained, Remainder = f(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.