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Recent questions tagged equations

1 votes
1 answer
1
NIELIT 2019 Feb Scientist D - Section D: 6
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ?$0$$\frac{1}{2}$$\frac{-1}{4}$$-1$
1 votes
1 answer
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NIELIT 2019 Feb Scientist C - Section D: 19
If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is: $0$ $1$ $2$ $3$
If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is:$0$$1$$2$$3$
0 votes
0 answers
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NIELIT 2019 Feb Scientist C - Section D: 25
If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is: $20$ $16$ $8$ $0$
If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is:$20$$16$$8$$0$
1 votes
1 answer
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CAT 1995 | Question: 67
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of (x, y) For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$? $a>3$ $0<a<3$ $a < 0$ Both $B$ and $C$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x|me(x, y) = maximum of (x, y)For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$?$a>3$$0<a<3$ $a < 0$...
1 votes
1 answer
6
CAT 1995 | Question: 66
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of(x, y) For what values of a is $me(a^{2} – 3a, a – 3) < 0$? $a >3$ $0 < a < 3$ $a < 0$ $a =3$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x|me(x, y) = maximum of(x, y)For what values of a is $me(a^{2} – 3a, a – 3) < 0$?$a >3$$0 < a < 3$ $a <...
1 votes
1 answer
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CAT 1995 | Question: 64
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ and $b = - 3$. $1$ $0$ $5$ $3$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x| me(x, y) = maximum of(x, y)Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ a...
1 votes
1 answer
9
CAT 1995 | Question: 55
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$? $m < 2$, or $m > 5$ $m > 2$ $2 < m < 5$ $m < 5$
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$?$m < 2$, or $m 5$ $m 2$ $2 < m < 5$ $m < 5$
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