1
IIT-JEE 1984
MCQ (Single Correct Answer)
+2
-0.5
If $$\,{a^2} + {b^2} + {c^2} = 1$$, then ab + bc + ca lies in the interval
A
$$[{1 \over 2},2]\,\,$$
B
$$[ - 1,2]$$
C
$$\,[ - {1 \over 2},1]\,$$
D
$$\,[ - 1,{1 \over 2}]\,\,$$
2
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
The number of real solutions of the equation $${\left| x \right|^2} - 3\left| x \right| + 2 = 0$$ is
A
4
B
1
C
3
D
2
3
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
Two towns A and B are 60 km apart. A school is to be built to serve 150 students in town A and 50 students in town B. If the total distance to be travelled by all 200 students is to be as small as possible, then the school should be built at
A
town B
B
45 km from town A
C
town A
D
45 km from town B
4
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
If p, q, r are any real numbers, then
A
max (p, q) < max (p, q, r )
B
min (p, q) = $${1 \over 2}\left( {p + q - \left| {p - q} \right|} \right)$$
C
max (p, q) < min (p, q, r)
D
none of these
JEE Advanced Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12