Maths-
General
Easy
Question
If
Then the roots of the equation
are
Hint:
In this question, we have to find the roots of the given equation. we will assume a, b, c to be the roots
. Later, we will solve the equation using some trigonometric identity and find the required roots.
The correct answer is: ![cos space a comma cos space b comma cos space c](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIIAAAAPCAYAAAAoLRf7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAk5JREFUeNrtWEFEbFEYHslokWiRJImkRZJIkratRkbatWiR9nmeSDKe5JEWLdolSYsMI6NF2mUkLeLJkyTRokUyZpfkGUN9//MNx3XuPaeUc6r78Zk55879/++c85//nH8SiRhvxRNYE0/D90YneB5PQ4wxMPtVBzcMHoH/wFtwMvB8FLwEy/xMa2x0gAWmzWfSBEmvi2CRtv+C7Z5r/gUuUPc9/YuNFs91C+rBFfCO9vNgY/VhH1hipMvCdIE7ysuD4A3Yw3YP20MBJ39CREdhH1yjGPGdow4TXGrO0daconvVMku41C1BcAb+BhvAJDjLwPuPXXAmwsCu+mMlavc0F6jGVwib4KSq2AZTFu+60iy4BrsDfTKxD57rXuamC8UDBxL1PBnoS2oGLlF+wgW2QUET6UeWR4MrzTVchCDqLAPBpe6SKXhM50vY83JI+tng2db1yhJMvj9aDsyV5kEGcBAS0Ice6x4Aj03iSu8UpSrmeR6Z/AYvUWeWgeBKs+zALU3/TzDjse4UL4aR2LA4t9Ka1JQ3pKKywe8dU2oVGfqygSvNcsZOaRbq3LJqcKW7H7wyietgGTNOo63gZiCt3CgXpF62hyNsToekUBVL4Dp9tvP2fKD5XZYpc8wDzXleFkfYbmXflOe6EyzNpWKoZVb6obMrZc0pWOELac3N9YqRdxFS4lXr2QoX1GaHLLByyDA7FDW2dRPqSnORfq4Vv2Hlrk+6BW28jFeYwaZ9/mOrKWJSU4nPh8+q20v0cWfUxrq/N+QcbY51fxxeAB6n62KhW7HDAAAAwnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5jb3M8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5hPC9taT48bW8+LDwvbW8+PG1pPmNvczwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmI8L21pPjxtbz4sPC9tbz48bWk+Y29zPC9taT48bW8+JiN4QTA7PC9tbz48bWk+YzwvbWk+PC9tYXRoPtmrFhAAAAAASUVORK5CYII=)
Related Questions to study
Maths-
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
Maths-General
Maths-
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
Maths-General
Maths-
If
then
If
then
Maths-General
Maths-
The sum of the series, upto n terms, is
The sum of the series, upto n terms, is
Maths-General
Maths-
In a triangle
In a triangle
Maths-General
Maths-
The value of
is
The value of
is
Maths-General
Maths-
If the equation
=0 has at least one solution, then the sum of all possible integral values of 'a' is equal to
If the equation
=0 has at least one solution, then the sum of all possible integral values of 'a' is equal to
Maths-General
Maths-
=
=
Maths-General
Maths-
If
d then the minimum value of
is equal to (where is variable)
If
d then the minimum value of
is equal to (where is variable)
Maths-General
biology
and
then
=
and
then
=
biologyGeneral
Maths-
Maths-General
Maths-
If
then
=
If
then
=
Maths-General
Maths-
The maximum value of the expression ![open vertical bar square root of open parentheses sin squared space x plus 2 a squared close parentheses end root minus square root of open parentheses 2 a squared minus 1 minus cos squared space x close parentheses end root close vertical bar](data:image/png;base64,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)
where and x are real numbers is
The maximum value of the expression ![open vertical bar square root of open parentheses sin squared space x plus 2 a squared close parentheses end root minus square root of open parentheses 2 a squared minus 1 minus cos squared space x close parentheses end root close vertical bar](data:image/png;base64,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)
where and x are real numbers is
Maths-General
Maths-
If
and
then ![open parentheses a squared plus 4 close parentheses open parentheses b squared minus 1 close parentheses squared](data:image/png;base64,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)
If
and
then ![open parentheses a squared plus 4 close parentheses open parentheses b squared minus 1 close parentheses squared](data:image/png;base64,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)
Maths-General
Maths-
The maximum value of
under the restrictions
and
is
The maximum value of
under the restrictions
and
is
Maths-General