CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Mr. Rajesh Rajput CBSE CLASS XII Q. 1. Find the distance of (1,-2,0) from the point of intersection of line OR Find the foot of the perpendicular drawn from (1,2,-1) to the plane x+2y-2z=6. Q. 2. Find the area of the circle OR Find the area : Q. 3. A candidate has to reach the examination centre in time. Probability of him going by bus or scooter or by other means of transport are Q. 4. Evaluate : Q. 5. The sum of surface areas of a sphere and a cube is given. Show that sum of their volumes is least when the diameter of sphere is equal to edge of a cube OR Show that the ratio of the height and diameter of a half cylinder of maximum volume and given surface area is Q. 6. If A= OR Q. 7. A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The Vitamin contents of one Kg food is given below :-
One Kg of food X costs Rs. 16 and one Kg of food Y costs Rs. 20. Find the least cost of the mixture which will produce the required diet. OR A manufactures, two types of products-A and B. The product A require 1hour on machine X ,1hour on machine Y and 4hour on machine Z. The product B require 2 hour on machine X ,1hour on machine Y and 1 hour on machine Z. In a given day machines X,Y and Z works for a maximum of 16, 9 and 24 hour respectively. The profit on product toy A is Rs. 600 and that on product B is Rs. 400. How many each types of products should be made to have maximum profit? Solve the problem graphically. Paper By Mr. Rajesh Rajput |