Q1. If in ∆PQR sin² P + sin² Q + sin² R = 2, then ∆ is
(d) right angled
Q2. Find sum of all integral solutions to the equation
Q3. In the given figure, PQRS is a square of side 12 cm. A line RT is drawn in as shown in figure. If diameter of smaller circle is 6cm, then find the diameter of the bigger circle ?
(a) 7 cm
(b) 8 cm
(c) 10 cm
(d) 11 cm
Q4. Three circles touch each other externally. The tangents at their points of contact meet at a point whose distance from a point of contact is 4. Find ratio of the product of the radii to the sum of the radii of circles.
(a) 16 : 1
(b) 16 : 15
(c) 1 : 16
(d) 15 : 16
Q5. In ∆ABC if ex-radius ra, rb and rc have a relation ra>rb>rc. Then relation for sides a, b, c for ∆ABC is
(a) a> b > c
(b) a< b < c
(c) a> b & b < c
(d) a< b & b > c
Q7. If 2x – 2y = 1 and 4x – 4y = 5/3, then, x – y = ?
Q10 A jar ABCDEF is made up of a prism shape with trapezium base and semi conical frustums connected at both ends of the prism. Find the volume of the shape (in cm3)?