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

A square and a rectangle have equal areas.If their perimeters are p_(1) and p_(2) respectively, then (a) p_(1) p_(2)(d) None of these

P1 and P2 are respectively :

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

If P is the pole of chord AB of a parabola dnt he length of perpendiculars from A, P, B on any tangent to the curve be p_1, p_2 and p_3 , then (A) p_3 is the G.M. between P_1 and p_2 (B) p_3 is the A.M. between p_1 and p_2 (C) p_1 is the G.M. between P_1 and p_3 (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 a.4p1 2+p2 2=a^2 b. p1 2-4p2 2=a^2 c. p1 2+p2 2=a^2 d. none of these

State whether (p_1 gt p_2 or p_2 gt p_1) for given mass of a gas ? .

If p_1 , p_2 , p_3 are the altitudes drawn from the vertices A,B, C of triangles respectively show that (1)/( p_1) +(1)/(p_2) -(1)/( p_3) = ( 2ab cos ^(2) C//2) / ( Delta (a+b+ c) )

There are two sets M_1 and M_2 each of which consists of three numbers in arithmetic sequence whose sum is 15. Let d_1 and d_2 be the common differences such that d_1=1+d_2 and 8p_1=7p_2 where p_1 and p_2 are the product of the numbers respectively in M_1 and M_2. If d_2 gt 0 then find the value of (p_2-p_1)/(d_1+d_2)