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Please wait! Loading...  Download as PDF 2019:Paper-2 2021:Paper-2 All the Papers SECTION 1 (Maximum Marks:18) This section contains SIX (06) questions. The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 TO 9, BOTH INCLUSIVE . For each question, enter the correct numerical value of the answer using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer. Answer to each question will be evaluated according to the following marking scheme: Full Marks : +3 ONLY if the correct numerical value is entered; Zero Marks : 0 If the question is unanswered. Negative Marks : -1 In all other cases. For a complex number $𝑧$, let $Re(𝑧)$ denote the real part of $𝑧$. Let $𝑆$ be the set of all complex numbers $𝑧$ satisfying $𝑧^4 − |𝑧|^4$ = $4 𝑖 𝑧^2$, where $𝑖 = \sqrt{−1}$ . Then the minimum possib...
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Please wait! Loading...  Download as PDF 2019:Paper-1 2021:Paper-1 All the Papers SECTION 1 (Maximum Marks:18) This section contains SIX (06) questions. Each question has FOUR options. ONLY ONE of these four options is the correct answer. For each question, choose the option corresponding to the correct answer. Answer to each question will be evaluated according to the following marking scheme: Full Marks : +3 ONLY if the correct option is chosen; Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered); Negative Marks : -1 In all other cases. Suppose $𝑎$, $𝑏$ denote the distinct real roots of the quadratic polynomial $ 𝑥^2 + 20𝑥 − 2020$ and suppose $𝑐$, $𝑑$ denote the distinct complex roots of the quadratic polynomial $𝑥^2 − 20𝑥 + 2020$. Then the value of $𝑎𝑐(𝑎 − 𝑐)$ + $𝑎𝑑(𝑎 − 𝑑)$ + $𝑏𝑐(𝑏 − 𝑐)$ + ...
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Welcome to Institute

Director Message (updated : 01/07/2020)

Dear students,
Hope you are doing well and taking care of yourself. I wish to pass an important information through this message. I understand a periodic test is very important for time management, to overcome fears ...

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OUR VISION

To contribute to
INDIA
through excellence
in career education

WHY INSTITUTE

     Our value system revolves around truth. Whatever we promise, we do. Our team always tends to our students with providing the best learning enviornment ,faculties and other facilities. Here we provide

Director

(Institute Champions)

OUR MISSION

To develope
Basic Analytical Skills,
Lateral Thinking,
Confidence & Right Attitude

OUR VALUES

Leadership with Humane Touch, Devotion & Integrity

Focus on students' needs

Utilize a shared decision-making process

Innovation and persuit of excellence in carrier education

News & Events

Institute is Creating Champions

"The roots of Education are bitter but the fruit is sweet" - Aristotle

Institute Rankers From Classroom/Integrated Institute Programs


OUR TOP PERFORMERS

  • 2020

    AIR:2043

    (JEE ADV.)

    Randhir Kumar

    Studied : VIII - X

    Vill. : Gordiha

  • 2020

    AIR:1537(OBC)

    (JEE ADV.)

    Randhir Kumar

    Studied : VIII - X

    Vill. : Gordiha

  • 2019

    IIT Kharag.

    (mechanical)

    Randhir Kumar

    Studied : VIII - X

    Vill. : Gordiha

  • 2019

    IIT Madras

    (Electrical)

    Randhir Kumar

    Studied : VIII - X

    Vill. : Gordiha

  • 2018

    IIT Kanpur

    (Mechanical)

    Randhir Kumar

    Studied : VII - X

    Vill. : Gordiha

  • 2016

    IIT Dhanbad

    (Mining)

    Randhir Kumar

    Studied : X

    Vill. : Gordiha

  • 2019

    NIT Hamir.

    (Civil)

    Randhir Kumar

    Studied : IX - X

    Vill. : Gordiha

  • 2019

    NIT Patna

    (Physics)

    Randhir Kumar

    Studied : VII - X

    Vill. : Gordiha

  • 2018

    NIT Hamir.

    (Elec. & Com.)

    Randhir Kumar

    Studied : VII - X

    Vill. : Gordiha

  • 2018

    NIT Jamshed.

    (Metallurgy)

    Randhir Kumar

    Studied : X

    Vill. : Gordiha

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