CBSE 11th Standard Maths Subject HOT Questions 4 Mark Questions 2021 Part - II
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CBSE 11th Standard Maths Subject HOT Questions 4 Mark Questions 2021 Part - II
11th Standard CBSE
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Reg.No. :
Mathematics
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Out of 100 students, 15 passed in English, 12 passed in Mathematics, 8 in Science, 4 in English and Science, 4 in all the three.Find how many students passed in English and Mathematics but not in Science?
(a) -
If tan(πcosθ)=cot(πsinθ) then prove that \(cos\left( \theta -\frac { \pi }{ 4 } \right) =\pm \frac { 1 }{ 2\sqrt { 2 } } .\)
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If \(cos \left( \theta +\phi \right) = m\quad cos\quad \left( \theta -\phi \right) \)then find the value of \(\frac { 1-m }{ 1+m } cot\quad \phi .\)
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Find the modulus and argument of \(z=\frac { (1+i)^{ 13 } }{ (1+i)^{ 7 } }\)
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If (1+i)(1+2i)(1+3i)...(1+ni)=(x+iy), then show that 2.5.10....(1+n2)=x2+y2
(a)