Statement-I : If  then A=
Statement-II : If  then 

Which of the above statements is true

If b > a , then the equation, (x - a) (x - b) - 1 = 0, has:

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of discriminant and used it in the solution to find the intervals. Therefore, one of the roots will be in the interval of $\left(-\alpha ,a\right)$ and the other root will be in the interval $\left(b,\alpha \right)$.

If  be that roots  where ,  such that  and  then the number of integral solutions of λ is

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of discriminant and used it in the solution to find the intervals. Therefore, the number of integral solutions of λ is in between 

If α,β then the equation with roots will be

Here we used the concept of quadratic equations and solved the problem. We found the sum and product of the roots first and then proceeded for the final answer. Therefore,  will be the equation for the roots  .

The equation of the directrix of the conic is

The conic with length of latus rectum 6 and eccentricity is

For the circle centre and radius are

The polar equation of the circle of radius 5 and touching the initial line at the pole is

The circle with centre at and radius 2 is

Statement-I : If 
Statement-II :If 

Which of the above statements is true

If x, y are rational number such that  Then

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is -

There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is -

If a, b, c are the three natural numbers such that a + b + c is divisible by 6, then a³ + b³ + c³ must be divisible by -

For x  R, let [x] denote the greatest integer  x, then value of++ +…+is -

The number of integral solutions of the equation x + y + z = 24 subjected to conditions that 1  x  5, 12  y  18, z  –1