JEE Advanced Mathematics Question Paper 2020

JEE Advanced Mathematics Question Paper 2020 Download Free PDF

Joint Entrance Examination Advanced (JEE Advanced) 2020 Mathematics Question paper with answers JEE Advanced Mathematics 2020 Question with solution you can download it in FREE, if JEE Advanced Mathematics (MCQ) 2020 paper in text or pdf for JEE Advanced Mathematics 2020 Answer Keys you can download JEE Advanced 2020 page also just Go to menu bar, Click on File->then Save.

JEE Advanced Mathematics Question Paper 2020

JEE Advanced Mathematics Question Paper 2020 Download

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SAMPLE QUESTIONS

Q1. Let 𝛼, 𝛽, 𝛾, 𝛿 be real numbers such that 𝛼 2 + 𝛽 2 + 𝛾 2 β‰  0 and 𝛼 + 𝛾 = 1. Suppose the point (3, 2, βˆ’1) is the mirror image of the point (1, 0, βˆ’1) with respect to the plane 𝛼π‘₯ + 𝛽𝑦 + 𝛾𝑧 = 𝛿. Then which of the following statements is/are TRUE?

(A) 𝛼 + 𝛽 = 2

(B) 𝛿 βˆ’ 𝛾 = 3

(C) 𝛿 + 𝛽 = 4

(D) 𝛼 + 𝛽 + 𝛾 = 𝛿

Q2. Suppose π‘Ž, 𝑏 denote the distinct real roots of the quadratic polynomial π‘₯2 + 20π‘₯ βˆ’ 2020 and suppose 𝑐, 𝑑 denote the distinct complex roots of the quadratic polynomial π‘₯2 βˆ’ 20π‘₯ + 2020. Then the value of

π‘Žπ‘(π‘Ž βˆ’ 𝑐) + π‘Žπ‘‘(π‘Ž βˆ’ 𝑑) + 𝑏𝑐(𝑏 βˆ’ 𝑐) + 𝑏𝑑(𝑏 βˆ’ 𝑑) is

(A) 0

(B) 8000

(C) 8080

(D) 16000

Q3. If the function 𝑓: ℝ ⟢ ℝ is defined by 𝑓(π‘₯) = |π‘₯|(π‘₯ βˆ’ sin π‘₯), then which of the following statements is TRUE?

(A) 𝑓 is one-one, but NOT onto

(B) 𝑓 is onto, but NOT one-one

(C) 𝑓 is BOTH one-one and onto

(D) 𝑓 is NEITHER one-one NOR onto

Q4. Let the function 𝑓: ℝ β†’ ℝ be defined by 𝑓(π‘₯) = π‘₯3 βˆ’ π‘₯2 + (π‘₯ βˆ’ 1) sin π‘₯ and let 𝑔: ℝ β†’ ℝ be an arbitrary function. Let 𝑓𝑔: ℝ β†’ ℝ be the product function defined by (𝑓𝑔)(π‘₯) = 𝑓(π‘₯)𝑔(π‘₯). Then which of the following statements is/are TRUE?

(A) If 𝑔 is continuous at π‘₯ = 1, then 𝑓𝑔 is differentiable at π‘₯ = 1

(B) If 𝑓𝑔 is differentiable at π‘₯ = 1, then 𝑔 is continuous at π‘₯ = 1

(C) If 𝑔 is differentiable at π‘₯ = 1, then 𝑓𝑔 is differentiable at π‘₯ = 1

(D) If 𝑓𝑔 is differentiable at π‘₯ = 1, then 𝑔 is differentiable at π‘₯ = 1

Q5. Let 𝑀 be a 3 Γ— 3 invertible matrix with real entries and let 𝐼 denote the 3 Γ— 3 identity matrix. If π‘€βˆ’1 = adj (adj 𝑀), then which of the following statements is/are ALWAYS TRUE?

(A) 𝑀 = 𝐼

(B) det 𝑀 = 1

(C) 𝑀2 = 𝐼

(D) (adj 𝑀)2 = 𝐼

 

Mathematics Paper I

Mathematics Paper II

Final Answer Keys

 

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