A square and a rectangle have equal areas. If their perimeters are `p_1` and `p_2` respectively, then (a) `p_1 lt p_2` (b) `p_1 = p_2` (c) `p_1 gt p_2` (d) None of these

P1 and P2 are respectively :

If (a-(1)/(a))=p, then (a^(2)+(1)/(a^(2))) is equal to p( b) p-2( c) p+2( d ) None of these

If p_1a n d\ p_2 are the lengths of te perpendiculars from the origin upon the lines x\ s e ctheta+h y cos e ctheta=a\ a n d\ xcostheta-ysintheta=acos2theta respectively, then 4p1 2+p2 2=a^2 b. p1 2-4p2 2=a^2 c. p1 2+p2 2=a^2 d. none of these

Two bodies of masses m_(1) and m_(2) have equal kinetic energies. If p_(1) and p_(2) are their respective momentum, then ratio p_(1):p_(2) is equal to

Three identical conducting plates P_(1),P_(2) and P_(3) are kept at a distance d from each other. If q,-q,2q are the charges in P_(1),P_(2) and P_(3) respectively, the electric field between P_(1) and P_(2) is (where A is area of plate)

Consider a triangle ABC, G be the centroid , AB = c, BC= a, AC = b, p,q,r are the length of the angle bisectors of A,B,C respectively and p1,p2,p3 are the length of the Altitudes from vertices A,B,C respectively: Find 1. Value of sqrt ( p_1 ^(-2) + p_2 ^(-2) + p_3 ^(-2) ) ( Delta denotes area of triangle) is 2. The value of GA^2 + GB^2 + GC^2 is 3. The value of 1/p cos(A/2) + 1/q cos (B/2) + 1/r cos(C/2) is

If p_1,p_2,p_3 re the altitudes of the triangle ABC from the vertices A, B and C respectivel. Prove that (cosA)/p_1+(cosB)/p^2+(cosC)/p_3 =1/R

If Aand B are two events than the value of the determinant choosen at random from all the determinants of order 2 with entries 0 or 1 only is positive or negative respectively.Then (a) P(A)>=P(B)( b) P(A)<=P(B)(c)P(A)=P(B)=(1)/(2)(d) None of these