### 1 / 18If a, b, c are positive integers, then the co-efficient of x in ∆=Let a, b, c be three real numbers. ThenLet p be a + ve integer, Then ∆=∆=|(1+x_1&1+x_1 x&1+x_1 x^2@1+x_2&1+x_2 x&1+x_2 x^2@1+x_3&1+x_3 x&1+x_3 x^2 )|=Let p be a + ve integer, Then ∆=The sum of n terms of the series 1^2/1.3+2^2/3.5+3^2/5.7+⋯+n^2/((2n-1)(2n+1))isThe sum of n terms of the series 1^2/1+(1^2+2^2)/(1+2)+(1^2+2^2+3^2)/(1+2+3)+⋯ isLet f(n)=((n+50)/100) where [n] denotes the integral part of x. Then(1 + 3^{-1}) (1 + 3^{-2}) (1 + 3^{-4}) (1 + 3^{-8}) …..(1 + 3^{-2n}) is equal toNumber of terms in the sequence 1, 3, 6, 10, 15,…., 5050 isIf the (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P. and m, n, r are in H.P.Let ai + bi = 1 (i = 1, 2, 3…n) and a=1/n (a_1+a_2+⋯+a_n )tan 70°, tan 50° + tan 20°, tan 20° area, b, c are + ve real numbers which are in H.P. ThenIf xi GT 0, i = 1, 2, 3,….n, show that (x1 + x2 + …+xn)1 / 18

The JEE (Joint Entrance Examination) Conducted together by thirteen Indian Institutes Institutes of Technology (Bombay, Delhi, Guwahati, Kanpur, Kharagpur, Madras, Roorkee, Bhubaneshwar, Gandhinagar, Hyderabad, Patna, Punjab and Rajasthan), IT-BHU, Varnasi and Indian School of Mines University,Dhanbad is one of the premier entrance examination in India. The level of competition can be gauged from the fact that lakh's of students appear at the JEE every year for a handful of seats available in these institutions.

In the engineering entrance examination, intelligence and knowledge of the student alone will not suffice. Good practice and proper guidance are required to answer different types of problems posed in different models.

This Website gives you a collection of all the types of Objective Questions which are being asked in all engineering competitive exams in India. Suggestions as well as comments from the visitors for the improvement of this site will be gratefully received.

**Kishore Babu Kondaveeti**

M.Sc (Mathematics-NIT warangal)

MS (AIT-IIIT-pune)

Email : kishore.ha@gmail.com

### Short Cut of the day:

### No Tips to Display