In the following questions a question is followed by data in the form of two statements labelled as I and Il. You must decide whether the data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from (a) to (d) as per the following guidelines :
What is the $$100^{th}$$ term of a sequence ?
I. The sequence is an Arithmetic Progression.
II. The first term of the sequence is 5.
Can we find the quadratic equation $$ax^2 + bx + c = 0$$?
I. The sum of the roots is given.
II. The difference of the roots is given.
Do the two circles with their centres at A and B and having radii $$r_1$$, and $$r_2$$, intersect ?
I. Distance between A and B is ‘a’ units.
II. $$\mid r_1 - r_2 \mid < a < r_1 + r_2$$
What is the area of a regular hexagon ?
I. A circle of radius ‘a’ units is inscribed in the hexagon.
II. Each side of the hexagon subtends an angle of $$60^\circ$$ at the centre ofthe circle.
Is ABCD a cyclic quadrilateral ?
I. The lengths of the diagonals are given.
II. A circle with mid point of a diagonal as centre passes through the vertices.
What is the angle subtended by the chord AB of a circle at a point P onthe circumference ?
I. The radius of the circle is 5 cm.
II. The length of the chord AB is 5 cm.
What is the percentage of profit on the sale of 50 books ?
I. The cost price of each bookis ₹ 100.
II. The sale price of each bookis ₹ 125.