If `l =[1,2]` then `l*2` will yield​

l_(1) and l_(2) are the side lengths of two variable squares S_(1), and S_(2), respectively.If l_(1)+l_(2)^(3)+6 then rate of change of the area of S_(2, with respect to rate of change of the area of ) of S_(1) when l_(2)=1 is equal to

In the esterification C_(2)H_(5)OH(l)+CH_(3)COOH(l)" an "hArr CH_(3)COOC_(2)H_(5)(l)+H_(2)O(l) equimolar mixture of alcohol and acid taken initially yields under equilibrium, the water with mole fraction =0.333 . The equilibrium constant. Is

If l_(1),l_(2) and l_(3) are the orders of the currents through our nerves, domestic appliances and average lightening, then the correct order of currents is (1) l_(1) gt l_(2) gt l_(3) (2) l_(1) gt l_(3) gt l_(2) (3) l_(1) lt l_(2) lt l_(3) (4) l_(1) = l_(2) = l_(3)

If x=4(l)/(1+l^(2)) and y=(2-2l^(2))/(1+l^(2)) wherel' is a parameter and range of f(x,y)=x^(2)-xy+y^(2) is[a,b ] then (a+b) is equal to

Two rods of length l_(1) and l_(2) are made of material whose coefficient of linear expansion are alpha_(1) and alpha_(2) , respectively. The difference between their lengths will be independent of temperatiure if l_(1)//l_(2) is to

If l_1=int_e^(e^2) dx/logx and l_2=int_1^2 e^x/xdx , then (A) l_1=2l_2 (B) l_1+l_2=0 (C) 2l_1=l_2 (D) l_1=l_2

If a rectangle has length L and the width is one-half of the length,then the area of the rectangle is (a) L( b) L^(2)( c) (1)/(2)L^(2)( d ) (1)/(4)L^(2)( e) 2L

The chord of contact of tangents from a point P to a circle passes through Q. If l_(1) and l_(2) are the length of the tangents from P and Q to the circle,then PQ is equal to (l_(1)+l_(2))/(2) (b) (l_(1)-l_(2))/(2)sqrt(l_(1)^(2)+l_(2)^(2))(d)2sqrt(l_(1)^(2)+l_(2)^(2))

The direction ratios of the bisector of the angle between the lines whose direction cosines are l_1,m_1,n_1 and l_2,m_2,n_2 are (A) l_1+l_2,m_1+m_2+n_1+n_2 (B) l_1-l_2,m_1-m_2-n_1-n_2 (C) l_1m_2-l_2m_1,m_1n_2-m_2n_1,n_1l_2-n_2l_1 (D) l_1m_2+l_2m_1,m_1n_2+m_2n_1,n_1l_2+n_2l_1

If a != 1 and l n a^(2) + (l n a^(2))^(2) + (l n a^(2))^(3) + ... = 3 (l n a + (l n a)^(2) + ( ln a)^(3) + (l n a)^(4) + ....) then 'a' is equal to