# Recent questions tagged equations If $P$\left (x, y \right)$is any point on the line joining the points$A$\left (a, 0 \right)$ and $B$\left(0, b \right)$then the value of$bx+ay-ab$is :$1-102$1 vote 1 answer 2 If$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$2 votes 1 answer 3 Find the value of$x$satisfying :$\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)4041-410$0 votes 0 answers 4 If$8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$then$31u+46v$is:$44423355$1 vote 1 answer 5 If$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:$0123$0 votes 0 answers 6 If$x+y+z=2, \:\: xy+yz+zx=-1$then the value of$x^{3}+y^{3}+z^{3}$is:$201680$1 vote 0 answers 7 Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of$a$is$le(a^{2} – 3a, a – 3) < 0$?$1 < a < 3a < 0$and$a < 3a < 0$and$a < 3a < 0$or$a < 3$1 vote 0 answers 8 Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of a is$me(a^{2} – 3a, a – 3) < 0$?$a < 3$and$a < 11 < a < 3a < 3$or$a < 1a < 3$or$a < 0$1 vote 0 answers 9 Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Which of the following must be correct? mo(le(a, b)$^{3}$(me(mo(a), mo(b)) mo(le(a, b)) > (me(mo(a), mo(b)) mo(le(a, b)) < (le(mo(a), mo(b)) mo(le(a, b)) le(mo(a), mo(b)) 1 vote 0 answers 10 Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at$a = -2$and$b = - 3$.$1053$1 vote 1 answer 11 What is the value of m which satisfies$3m^{2} - 21m + 30 < 0$?$m < 2$, or$m > 5m > 22 < m < 5m < 5\$