1
IIT-JEE 1980
MCQ (Single Correct Answer)
+2
-0.5
If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then
A
$${a^2} + {c^2} = - ab\,$$
B
$${a^2} - {c^2} = - ab$$
C
$${a^2} - {c^2} = ab$$
D
none of these
2
IIT-JEE 1979
MCQ (Single Correct Answer)
+2
-0.5
The equation x + 2y + 2z = 1 and 2x + 4y + 4z = 9 have
A
only one solution
B
only two solution
C
Infinite number of solutions
D
None of these.
3
IIT-JEE 1979
MCQ (Single Correct Answer)
+2
-0.5
If x, y and z are real and different and $$\,u = {x^2} + 4{y^2} + 9{z^2} - 6yz - 3zx - 2xy$$, then u is always.
A
non negative
B
zero
C
non positive
D
none of these
4
IIT-JEE 1979
MCQ (Single Correct Answer)
+2
-0.5
Let a > 0, b > 0 and c > 0. Then the roots of the equation $$a{x^2} + bx + c = 0$$
A
are real and negative
B
have negative real parts
C
both (a) and (b)
D
none of these
JEE Advanced Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12