e- , p+ , n discovery का गजब संयोग | #Arvind_Arora #Short_Video

Tangent at a point P_1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 meets the curve again at P_2dot The tangent at P_2 meets the curve again at P_3 and so on. Show that the abscissae of P_1,\ P_2,\ P_n form a G P . Also find the ratio (a r e a\ ( P_1P_2P_3))/(a r e a\ ( P_2P_3P_4))dot

If p\ a n d\ p ' be the perpendicular form the origin upon the straight lines x s e ctheta+y cos e ctheta=a\ a n d\ xcostheta-y s intheta=acos2thetadot Prove that : 4p^2+p^'^2=a^2\ dot

Let X ~ B( n , p ) , If n = 10 and E(X) = 5 , Using the following activity find p and Var (X).

In a survey of a city, it was found that 90 percent of the people in the city own a refrigerator and 15 percent own a washing machine. If everybody owns at least one appliance, what percentage owns both? 5 p e r c e n t b. 8 p e r c e n t c. 10 p e r c e n t d. none of these

In an examination X secures 58% marks and Y secures 105 marks less than X. If the maximum marks were 700, then what percent of marks did Y secure? 42 p e r c e n t b. 4 3 p e r c e n t c. 52 p e r c e n t d. none of these

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

Let S e the sum,P the product,adn R the sum of reciprocals of n terms in a G.P.Prove that P^(2)R^(n)=S^(n).

Statement-1 : A step up transformer can also be used as a step down transformer. Statement-2 : This is because (E_(s))/(E_(P)) = (n_(s))/(n_(P))