EASY
12th Uttar Pradesh Board
IMPORTANT
Earn 100

Find the direction ratio and direction cosines of a line parallel to the line whose equations are

6x-12=3y+9=2z-2

Important Questions on Sample Paper 1

EASY
12th Uttar Pradesh Board
IMPORTANT
If y1-x2+x1-y2=1, then prove that dydx=-1-y21-x2
EASY
12th Uttar Pradesh Board
IMPORTANT
Find x if x-a.x+a=12, where a is a unit vector.
EASY
12th Uttar Pradesh Board
IMPORTANT
Find dx3-2x-x2
EASY
12th Uttar Pradesh Board
IMPORTANT
Three friends go for coffee. They decide who will pay the bill, by each tossing a coin and then letting the “odd person” pay. There is no odd person if all three tosses produce the same result. If there is no odd person in the first round, they make a second round of tosses and they continue to do so until there is an odd person. What is the probability that exactly three rounds of tosses are made?
EASY
12th Uttar Pradesh Board
IMPORTANT
Find the mean number of defective items in a sample of two items drawn one-by-one without replacement from an urn containing 6 items, which include 2 defective items. Assume that the items are identical in shape and size.
MEDIUM
12th Uttar Pradesh Board
IMPORTANT

Evaluate: π6π3dx1+tanx.

MEDIUM
12th Uttar Pradesh Board
IMPORTANT
Evaluate :04x-1dx
MEDIUM
12th Uttar Pradesh Board
IMPORTANT
Solve the differential equation ydx+x-y2dy=0