Mathematics
Assertion (A) : If x = 1(1/2) is a solution of the equation 2x^2 + px - 6 = 0, then value of p is 1. Reason (R) : If α is a root of quadratic equation ax^2 + bx + c = 0, where a, b and c ∈ R and a 0, then aα^2 + bα + c = 0. 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) : Solution set of -6x < -40, x ∈ W is {6, 7, 8, 9, …..}.
Reason (R) : If each term of an in-equation be multiplied or divided by the same negative number, the sign of inequality reverses.
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) : 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.