Maths-
General
Easy
Question
The correct answer is: ![fraction numerator 3 over denominator 2 end fraction](data:image/png;base64,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)
![cos to the power of 4 end exponent invisible function application fraction numerator pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator 5 pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator 7 pi over denominator 8 end fraction](data:image/png;base64,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)
![equals cos to the power of 4 end exponent invisible function application fraction numerator pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator pi over denominator 8 end fraction](data:image/png;base64,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)
![equals 2 open parentheses cos to the power of 4 end exponent invisible function application fraction numerator pi over denominator 8 end fraction plus cos to the power of 4 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction close parentheses](data:image/png;base64,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)
![equals 2 open square brackets open parentheses cos to the power of 2 end exponent invisible function application fraction numerator pi over denominator 8 end fraction plus cos to the power of 2 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction close parentheses to the power of 2 end exponent minus 2 cos to the power of 2 end exponent invisible function application fraction numerator pi over denominator 8 end fraction cos to the power of 2 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction close square brackets](data:image/png;base64,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)
![equals 2 open square brackets 1 minus fraction numerator 1 over denominator 2 end fraction open parentheses 2 cos to the power of 2 end exponent invisible function application fraction numerator pi over denominator 8 end fraction close parentheses open parentheses 2 cos to the power of 2 end exponent invisible function application fraction numerator 3 pi over denominator 8 end fraction close parentheses close square brackets](data:image/png;base64,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)
![equals 2 minus open parentheses 1 plus cos invisible function application fraction numerator pi over denominator 4 end fraction close parentheses open parentheses 1 plus cos invisible function application fraction numerator 3 pi over denominator 4 end fraction close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOYAAAAmCAYAAADQgucPAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAABO9JREFUeNrtXUFkHVEUfSKiIkpUVFSFiIiIyKbqi6huKiIiQlVUVZSIquqiVFRURemyKkJFVFWUquoiqlREF12UqqqKKBFddBHZVEV8EX7vzdy0k/dn5r8/82bm35l7OGJm/p8/OffeN+/e996MUtnAdeCcEpjiMWkm+vKyAysMAL8C68XOxkCtvgHPib6eOA98C9wFFoE/gI+AJ1K0Ays0AjeBfRJrVaOHtGsSfcuwChwDNrj2oQbvUrIDO8wC5yXGInWlZkVfY/xJyQ6s0AL8DTwl/hIareRsLaJvRbQD1wNycOz2lgJ4J6Qd2OEu8HnOnSWqQyAWgTOiry9OAicozxzy+cwz4GngK+Coaz9uDxv+jp8d2GGNChN5hg2H6Pe5E+RdX72Bu2XwnQ2yxyE2KbCj2IEVOoHb0phbcQjEFrBL9PVEMzV6n1Rw9bSeei/u7Z0qf0u3Aztg12JJfMaaQyyRpqKvP5ooOP1QUE411729EtEOLLtwU+Ir1hziGmkq+gajGHBsHPjUtX1J0zSMHdhhOSARzxtsOMSgcgbURV9/9CqnAOSHee1uh8MfcxHtwA6Y/7SIr1hziCYtp8y7vh+AFyktqFPOTCDM269WyPPdEzEeAN8DO5QzUSOMHawAq0pYDcTxmD3lTOO6HJNwuyRYELCAMUPXkWXYcIg6LU/Nu74D1GsoEjFVCKpyY3Hoi7bvDMVCNUNOuh2stTLj6v/Uom7gR9pnGyWDz6Agk4af5QpbDqGoMRV908deEj/SppxJumkEZpjPRvkOd5RE35qzQ6woZjww+6m3gP/nT+AV7Th2gdaoJcS/Ix7naKfuknsWjwRmtvSNrE3JgKYoUHc2q4HZR8n6KOUHmHe5x//OUg7YQ9s9tF3QzvPZx6HyHphZ0rdm7pjHlDMg25/hwMRi180Kx4c9Wvg32j5syZslMDOtb00EZjOJc8HgIsLcnW07TtjrwCLL8YDz4vEGbV+DKl8+NKoqF8pKFphWYOZFX9t2sNqVbaeg7KiRViXOFj2syF6VN6xmL1Ce1Cl3zMzpm+ods4v++cYauvg4HWfbUovuxrQqHwLJa2BmSd/UAhNXM7xUyTwbplYcZ8EgBxrx6Fa9DvhOnUpoLItBYGZJ39QCc1klt2SlVhwHu+1Ywh8jg+Nq/0XXcRzsxyphN2330nZQQQwnMq9KYGZO39QC08bwStwFhziAJX2sPu8rZ3qa3oJjlXCdWunv6uiCZv1a8Rw4ibmVQWCKvoxyzKSwrwReGI5g2D3RN3HNK9mBHUwmWecNWHVcC+kk+mJr0Td+zU3swA6/FJ8B46TwhPKnME6CDzLeFn0T1dzEDuyAhaZB8Yt/wGLHSoQcZUiVL5QWfePV3MQO7IAr9ifENw6A43a4gqctgpNMqqNPQRB949fcxA7sgCsM5JmnDh4Cb7i2wzjJCy0QRd/4NTexAzvglKot8Y+DcTt99U4YJ8G8pkv0TVRzEzuwBHYlCjl3Ehzf64joJPg8m3XRN1HNq7EDO9xWR2eB5BE21s1il3Va9E1U82rswA5YWpaX3ng7jinw6e07yvu9j6JvPJpXaweWuKfkTcdRnAQnid8XfVMPzEp2YAdcXrZBCbmgOifBOagmL64VfeMNTBM7sAQO9Mqr3qvD4TjcgOjLxg4sgQOz8uZjc2D3dEr0rV07/AUvaCo9E+SPLQAAAYZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+PTwvbW8+PG1uPjI8L21uPjxtbz4tPC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bW4+MTwvbW4+PG1vPis8L21vPjxtaT5jb3M8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1mcmFjPjxtaT4mI3gzQzA7PC9taT48bW4+NDwvbW4+PC9tZnJhYz48L21yb3c+PC9tZmVuY2VkPjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtbj4xPC9tbj48bW8+KzwvbW8+PG1pPmNvczwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWZyYWM+PG1yb3c+PG1uPjM8L21uPjxtaT4mI3gzQzA7PC9taT48L21yb3c+PG1uPjQ8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21hdGg+TKW76wAAAABJRU5ErkJggg==)
![equals 2 minus open parentheses 1 plus cos invisible function application fraction numerator pi over denominator 4 end fraction close parentheses open parentheses 1 minus cos invisible function application fraction numerator pi over denominator 4 end fraction close parentheses](data:image/png;base64,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)
.
Related Questions to study
chemistry-
The products (A) and (B) are:
The products (A) and (B) are:
chemistry-General
maths-
If w is a complex cube root of unity, then the matrix A =
is a-
If w is a complex cube root of unity, then the matrix A =
is a-
maths-General
maths-
Matrix [1 2]
is equal to-
Matrix [1 2]
is equal to-
maths-General
maths-
If A –2B =
and 2A – 3B =
, then matrix B is equal to–
If A –2B =
and 2A – 3B =
, then matrix B is equal to–
maths-General
maths-
The value of x for which the matrix A =
is inverse of B =
is
The value of x for which the matrix A =
is inverse of B =
is
maths-General
maths-
The greatest possible difference between two of the roots if [0, 2
] is
The greatest possible difference between two of the roots if [0, 2
] is
maths-General
maths-
Statement I :
is a diagonal matrix.
Statement II : A square matrix A = (aij) is a diagonal matrix if aij = 0 .![for all straight i times not equal to straight j](data:image/png;base64,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)
Statement I :
is a diagonal matrix.
Statement II : A square matrix A = (aij) is a diagonal matrix if aij = 0 .![for all straight i times not equal to straight j](data:image/png;base64,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)
maths-General
maths-
Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity. Denote by tr(A), The sum of diagonal entries of A, Assume that A2 = I.
Statement-I :If A
I and A
– I, then det A= – 1
Statement-II : If A
I and A
– I then tr(A)
0.
Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity. Denote by tr(A), The sum of diagonal entries of A, Assume that A2 = I.
Statement-I :If A
I and A
– I, then det A= – 1
Statement-II : If A
I and A
– I then tr(A)
0.
maths-General
maths-
Suppose
,
let x be a 2×2 matrix such that
AX = B
Statement-I : X is non singular & |x| = ±2
Statement-II : X is a singular matrix
Suppose
,
let x be a 2×2 matrix such that
AX = B
Statement-I : X is non singular & |x| = ±2
Statement-II : X is a singular matrix
maths-General
maths-
If
then
is equal to
If
then
is equal to
maths-General
maths-
Statement-I : If A & B are two 3×3 matrices such that AB = 0, then A = 0 or B = 0
Statement-II : If A, B & X are three 3×3 matrices such that AX = B, |A|
0, then X = A–1B
Statement-I : If A & B are two 3×3 matrices such that AB = 0, then A = 0 or B = 0
Statement-II : If A, B & X are three 3×3 matrices such that AX = B, |A|
0, then X = A–1B
maths-General
maths-
Assertion (A): The inverse of the matrix
does not exist.
Reason (R) : The matrix
is singular. [![because](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAACRJREFUeNpjYMAE/6EYGwiAyi1nIACoYsgoIAzwBTR9DaEPAABHCgvlC8PdSAAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIzNTs8L21vPjwvbWF0aD6HYN/sAAAAAElFTkSuQmCC)
= 0, since R2 = 2R1]
Assertion (A): The inverse of the matrix
does not exist.
Reason (R) : The matrix
is singular. [![because](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAACRJREFUeNpjYMAE/6EYGwiAyi1nIACoYsgoIAzwBTR9DaEPAABHCgvlC8PdSAAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIzNTs8L21vPjwvbWF0aD6HYN/sAAAAAElFTkSuQmCC)
= 0, since R2 = 2R1]
maths-General
maths-
Assertion (A):
is a diagonal matrix
Reason (R) : A square matrix A = (aij) is a diagonal matrix if aij = 0 for all i
j.
Assertion (A):
is a diagonal matrix
Reason (R) : A square matrix A = (aij) is a diagonal matrix if aij = 0 for all i
j.
maths-General
maths-
Consider
= – 1, where ai. aj + bi. bj + ci.cj =
and i, j = 1,2,3
Assertion(A) : The value of
is equal to zero
Reason(R) : If A be square matrix of odd order such that AAT = I, then | A + I | = 0
Consider
= – 1, where ai. aj + bi. bj + ci.cj =
and i, j = 1,2,3
Assertion(A) : The value of
is equal to zero
Reason(R) : If A be square matrix of odd order such that AAT = I, then | A + I | = 0
maths-General
maths-
Assertion(A) : The inverse of the matrix A = [Aij]n × n where aij = 0, i
j is B = [aij–1]n× n
Reason(R): The inverse of singular matrix does not exist
Assertion(A) : The inverse of the matrix A = [Aij]n × n where aij = 0, i
j is B = [aij–1]n× n
Reason(R): The inverse of singular matrix does not exist
maths-General