IIT JEE Part Test 2

Instructions:

For straight objective type with only one correct answer. +3 for correct answer, -1 for wrong answer, 0 for not attempting

Reasoning type
If STATEMENT-I is true and STATEMENT-II is correct explanation of STATEMENT-I mark (a)
If STATEMENT-I is true and STATEMENT-II is true but not the correct explanation of STATEMENT-I mark (b)
If STATEMENT-I is true and STATEMENT-II is false mark (c)
If STATEMENT-I is false and STATEMENT-II is true mark (d)
+3 for correct, -1 for wrong, 0 for not attempting

Linked comprehension type. Answer the questions according to the information given. Only one option is correct. +4 for correct answer and -1 for wrong answer, 0 for not attempting

Match the columns +1 for correct and -1 for wrong

Q1) Straight Objective Type

find the summation of the series to infinite terms
1/3 + 1/3 + 7/27 + 5/27 + ....

a) 1
b) 3/2
c) 2
d) none of these

Q2) The greatest value of x²y³z⁴ (x+2y+3z=1, x,y,z>0) is

a) 2¹⁰/3¹⁵
b) 2⁷/3¹⁹
c) 2⁶/3¹⁸
d) 2¹³/3¹²

Q3) For the expansion (1+x)¹⁰
C₀+C₃+C₆+C₉=

a) 340
b) 341
c) 342
d) none of these

Q4)

for x,y in R (4xy?1)

find f'(1)

a) 1
b) 1/2
c) 1/5
d) 2/5

Q5)

a) 1
b) 1/e
c) e
d) none of these

Q6) find the area bounded by the curves
x²+y²=4
x²+y²-2|x|-2|y|+4=0

a) 4p
b) 8p-8
c) 4p+2
d) 8p-16

Q7) Let x,y be the real numbers satisfying the equation x²+2x+y²+2y-47=0
If the maximum and minimum values of x²+y²-4x-6y+13 are M and m respectively, then the numerical value of M-m is

a) 14
b) 10
c) 5
d) none of these

Q8) Let a,b,c be the unit vectors such that a+b+c=0. Then the area of the triangle formed by a,b and c is

a) 0
b) 1 units
c) can't be determined
d) none of these

REFLECTIONS...

IIT JEE Part Test 2

Instructions: