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P(x, y) lies on ellipse x² + 4y² = 1, E and F are foci Consider the following points: 1.(√3/2,…
NDA Mathematics 2023
NDA 2023
Mathematics
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P(x, y) lies on ellipse x² + 4y² = 1, E and F are foci What is PE + PF…
NDA Mathematics 2023
NDA 2023
Mathematics
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A quadrilateral is formed by the Lines: x = 0, y = 0, x + y = 1, 6x +…
NDA Mathematics 2023
NDA 2023
Mathematics
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A quadrilateral is formed by the Lines: x = 0, y = 0, x + y = 1, 6x +…
NDA Mathematics 2023
NDA 2023
Mathematics
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Given that m(θ) = cot²θ + n² tan²θ + 2n, where n is a fixed positive real number. Under what…
NDA Mathematics 2023
NDA 2023
Mathematics
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Given that m(θ) = cot²θ + n² tan²θ + 2n, where n is a fixed positive real number. What is…
NDA Mathematics 2023
NDA 2023
Mathematics
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Δ(a, b, c, α) =| a b aα + b || b c bα + c || aα + b bα + c 0 | If…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let Δ(a, b, c, α) = | a b aα + b || b c bα + c || aα + b bα + c 0…
NDA Mathematics 2023
NDA 2023
Mathematics
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(3 + 2√2)x² – (4 + 2√3)x + (8 + 4√3) = 0 What is the GM of the roots…
NDA Mathematics 2023
NDA 2023
Mathematics
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(3+2/2)x^2 – (4+2√3)x + (8+4√3) = 0 What is the HM of the roots of the equation?
NDA Mathematics 2023
NDA 2023
Mathematics
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sinx+cosx+tanx+cot.x+secx+cosecx=7 If sin 2x = a – b√c, where a and b are natural numbers and c is a prime…
NDA Mathematics 2023
NDA 2023
Mathematics
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Given that sin x + cos x + tan x + cot x + sec x + cosec x =…
NDA Mathematics 2023
NDA 2023
Mathematics
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In triangle PQR, P is the largest angle and cos P = 1/3. In-centre touches sides PQ, QR, RP at…
NDA Mathematics 2023
NDA 2023
Mathematics
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In triangle PQR, P is the largest angle and cos P = 1/3. In-centre touches sides PQ, QR, RP at…
NDA Mathematics 2023
NDA 2023
Mathematics
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Consider the sum S=0! +1! +2! +3!+4!+…. + 100! If the sum S is divided by 60, what is the…
NDA Mathematics 2023
NDA 2023
Mathematics
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Consider the sum S = 0! + 1! + 2! + … + 100! If the sum S is divided…
NDA Mathematics 2023
NDA 2023
Mathematics
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f(x)=x-2|+3-x+4-x, where x e R. What is the minimum value of f(x)?
NDA Mathematics 2023
NDA 2023
Mathematics
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f(x) = |x-2| + |3-x| + |4-x|. At what value of x does f(x) attain minimum value?
NDA Mathematics 2023
NDA 2023
Mathematics
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In triangle ABC, a² + b² + c² = ac + √3bc. What is the nature of the triangle?
NDA Mathematics 2023
NDA 2023