MATHEMATICS SAMPLE TEST PAPER CLASS XII Class:12 Max Mks:100 Time 3hrs No of pages: 4 Ò General Instructions: Ò All questions are compulsory . Ò The question paper consists of 29 questions divided into three s ections - A, B and C. Ò Section - A comprises of 10 questions of one mark each, Section B is of 12 questions of four marks each, Section C comprises of 7 questions of six marks each. Ò Internal choice has been provided in four marks question and six marks question. You have to attempt any one of the alternatives in all such questions Ò use of calculator not permitted.. SECTION A Question number 1 to 10 carry 1 mark each 1. Show that the functions f:R→R given by f(x) = x 3 is injective. 2. Fi nd the va lue of si n -1 x = y when 0<y<π 3. Find the v alue of x,y an d z in f rom the f oll owi ng equat ions. 4. Find the derivative with respect to x sec(tan√x) 5. The radi us of an air bub ble incr easing at the r ate of 5cm/ s. At what rate i s the vo lume of the bubble increasing when the radius is 2cm. 6. Find the area between the curve y=x and y = x 2 7. Find the dir ection cos ine of the ides of t he triang le whose ver tices ar e (3,5,-4 ) ,(-1,1 ,2) and (-5, - 5,-2) 8. Evaluate sin -1 (sin100 0 )+cos -1 (cos100 0 ) 9. f(x) = e 2log(sinx) then find f' (π/4)
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8/11/2019 Class 12 Cbse Maths Sample Paper Model 5