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Class 11 Mathematics JEE based questions.
Q1 Solve ecosx−e−cosx−6=0 Solution: et−e−t−6=0 e2t−1et=6⇒e2t−1=6et e2t−6et−1=0 (et)2−6et−1=0 Roots: et=6±36+42=6±402=6±2102=3±10 Q2 If roots of x2−2x+2=0 are α,β, find α2025+β2025. Solution: α,β=2±4−82=1±i αn+βn=2(2)ncos(nπ4) cos(2025π4)=cos(20254π) Divide 2025 …
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Q1 If one real root of the quadratic equation 49×2+kx+64=0 is the square of the other root, then find k. Solution: Q2 If 3+2i is …
Read moreClass 11 Mathematics: JEE based questions:
1. Domain of function Problem: Find the domain of f(x)=log5(1−log3(x2−7x+12)) If domain is (α,β)∪(γ,δ), compute α+β+γ+δ. Solution: Ans: 21 2. Domain of logarithmic function Problem: …
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Class 11 Mathematics JEE based questions.
Q1 Solve ecosx−e−cosx−6=0 Solution: et−e−t−6=0 e2t−1et=6⇒e2t−1=6et e2t−6et−1=0 (et)2−6et−1=0 Roots: et=6±36+42=6±402=6±2102=3±10 Q2 If roots of x2−2x+2=0 are α,β, find α2025+β2025. Solution: α,β=2±4−82=1±i αn+βn=2(2)ncos(nπ4) cos(2025π4)=cos(20254π) Divide 2025 …