`(3l)/2=2/3`

Let L1 and L2 be two lines such that L_(2) : (x+1)/-3=(y-3)/2=(z+2)/1, L_(2) : x/1 = (y-7)/-3 = (z+7)/2 The point of intersection of L1 and L2 is

L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) The lines L_(1) and L_(2) are -

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

If l is the length of a diagonal of a cube of volume V, then (a) 3V=l^3 (b) sqrt(3)\ V=l^3 (c) 3sqrt(3)\ V=2l^3 (d) 3sqrt(3)\ V=l^3

The following reaction takes place when aluminium powder is heated with MnO_(2) 3MnO_(2)(s)+4Al(s)to3Mn(l)+2Al_(2)O_(3)(l)+"Heat" (a) Is aluminium gettuing reduced ? (b) zIs MnO_(2) getting oxidised ?

Red phosphorus reacts with liquid bromine in an exothermic reaction : 2P_((s))+3Br_(2(l))rarr2PBr_(3(g)) Delta_(r)H^(@)=-243kJ . Calculate the enthalpy change when 2.63g of phosphorus with an excess of bromine in this way.

Line L passes through the coordinate points ((-7)/(2), 3) and ((-3)/(2), 5) . What is the slope of line L?

l n ((3)/(sqrt(3)))- ln (2+sqrt(3)) equals (where l nx = log_(e)x)

If A is a square matrix of order 3 and I is an ldentity matrix of order 3 such that A^(3) - 2A^(2) - A + 2l =0, then A is equal to