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Yogita Ingle 5 years ago
P(x) = x (x + 1)(x + 2)(x + 3)
=> P(x) = x(x + 3)(x + 1)(x + 2)
=> P(x) = (x² + 3x )(x² + 3x + 2)
=> P(x) = (x² + 3x )² + 2(x² + 3x)
Let say y = x² + 3x
p(y) = y² + 2y
p'(y) = 2y + 2
=> y = - 1
p''(y) = 2 > 0
=> y = -1 will give minimum value
p(y) = y² + 2y
=> P(-1) = (-1)² + 2(-1)
=> P(-1) = 1 - 2
=> P(-1) = - 1
Hence minimum value of the polynomial x (x + 1)(x + 2)(x + 3) is - 1
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Gaurav Seth 5 years ago
A linear VI curve has a constant slope and hence a constant resistance. Carbon resistors and metals obey Ohm's law and have constant resistance. This means that the V-I curve is a straight line passing through the origin. An electronic component may exhibit linear characteristics only in a particular region.
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Q u e s t i o n : If A is square matrix such that A2=A, then (I+A)3-7A is equal to
A n s w e r
Given that
A2=A
We have to find (I+A)2-7A
(I+A)3-7A
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Mishti ???? 4 years, 11 months ago
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Gaurav Seth 5 years ago
On July 7, HRD Minister Ramesh Pokhriyal announced a major CBSE syllabus reduction with 30% of the syllabus slashed for the year 2020-21 for classes 9 to 12 because of the reduction in classroom teaching time due to the Covid-19 pandemic and lockdown.
CBSE has rationalized the syllabus with the help of suggestions from NCERT and the same has been notified by a new CBSE notification as well.
The CBSE syllabus has been reduced but care has been taken so that the learning outcomes remain the same and the students do not miss out on learning core concepts in various subjects.
Deleted syllabus of CBSE Class 12 Mathematics
3Thank You