MATHS BY RUPESH K JHA...
GS ROAD CHRISTIAN BASTI GUWAHATI 1
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CLASS XI BOARD PATTERN Mixed Topic
Date09-02-2024 Approx: 1. hours
1- Marker [1 to 2 min each Question]
Q1. The sum of first three terms of a GP is 13 /12 and their product is −1then the common ratio of the GP is
a)-4/3 or -3/4 b) ¾ or 4/3
c)1/4 or -1/4 d)5/3 or -3/5
Q2.Find x if
a)[-12,-5) b) [-12,-5]
c)(-12,-5) d)none of these
Q.3.The total number of terms in expansion of after simplification is
a)202 b) 51
c)50 d)none of these
Q.4. is
a)greater than 1000 b) less than 1000
c)equal to 1000 d)none of thes
Q.5.Three digit numbers are formed using the digits 0, 2, 4, 6, 8. A number is chosen at random out of these
numbers. What is the probability that this number has the same digits
a)1/16 b) 16/25
c)1/65 d)1/25
2- Marker [3 to 4 min each Question]
Q.6.Prove that :
Q.7.Find the value of
Q.8 Prove that the points (0, –1, –7), (2, 1, –9) and (6, 5, –13) are collinear. Find the ratio in which the first
point divides the join of the other two.
Q.9.Find the domain and range of signum function .Also draw its graph
DISTRACTIONS MAKE LEARNING HARDER
MATHS BY RUPESH K JHA... GS ROAD CHRISTIAN BASTI GUWAHATI 2
3- Marker [4-5 min each Question]
Q.10. Prove that cos200cos400cos600cos800=1/16
Q.11Prove that
4- Marker [7-8 min]
Q.12 One evening, four friends decided to play a card game Rummy. Rummy is a card game that is played with
decks of cards. To win the rummy game a player must make a valid declaration by picking and discarding cards
from the two piles given. One pile is a closed deck, where a player is unable to see the card that he is picking,
while the other is an open deck that is formed by the cards discarded by the players. To win at a rummy card
game, the players have to group cards invalid sequences and sets. In rummy, the cards rank low to high starting
with Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. Ace, Jack, Queen, and King each have 10 points and the
remaining cards have a value equal to their face value. For example, 5 cards will have 5 points, and so on. In
how many ways four cards are drawn from a pack of 52 playing cards if
a)All cards of same suit.
b)All Cards of different suit.
c)Two are red and two are black
5- Marker [7-8 min each Question]
Q.13.Find the value of the expression
Q.14.A line is such that its segment between the straight lines 5x-y+4=0 and 3x+4y-4=0 is
bisected at the point (1,5). Obtain its equation
Q.15 Assuming that straight lines work as the plane mirror for a point , find the image of the point (1,2) in the
line x-3y+4=0.
Q.16.Find the derivative of F(x)= xsinx by first principal
Ans: 1A 2C 3B 4A 5D 7(1/10) 8(1:3 ext ) 12)(a)2860 (b)28561 (c)105625 13)3/2 (14)107x03y-92=0
15)(1.2, 1.4) 16)xcosx+sinx
DISTRACTIONS MAKE LEARNING HARDER
