Maths-
General
Easy
Question
If then
The correct answer is: ![12 cos invisible function application A cos invisible function application B cos invisible function application C](data:image/png;base64,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)
Related Questions to study
Maths-
The value of
is
The value of
is
Maths-General
Maths-
If are four angles then
.![cos invisible function application left parenthesis C plus D right parenthesis plus sin invisible function application left parenthesis D minus A right parenthesis times cos invisible function application left parenthesis D plus A right parenthesis equals](data:image/png;base64,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)
If are four angles then
.![cos invisible function application left parenthesis C plus D right parenthesis plus sin invisible function application left parenthesis D minus A right parenthesis times cos invisible function application left parenthesis D plus A right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
If
and
are the roots of the equation
then
is equal to
If
and
are the roots of the equation
then
is equal to
Maths-General
chemistry-
Formula of the following silicate anion is
![](data:image/png;base64,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)
Formula of the following silicate anion is
![](data:image/png;base64,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)
chemistry-General
chemistry-
Sulphide mineral + M
can be
Sulphide mineral + M
can be
chemistry-General
maths-
The adjoining figure gives the road plan of lanes connecting two parallel roads AB and FJ Aman walking on the road AB takes a turn at random to reach the road FJ It is known that he reaches the road FJ from
by taking a straight line The chance that he moves on a straight line from the road AB to the road FJ is.
![](data:image/png;base64,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)
The adjoining figure gives the road plan of lanes connecting two parallel roads AB and FJ Aman walking on the road AB takes a turn at random to reach the road FJ It is known that he reaches the road FJ from
by taking a straight line The chance that he moves on a straight line from the road AB to the road FJ is.
![](data:image/png;base64,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)
maths-General
maths-
The value of
is Zero if
The value of
is Zero if
maths-General
Maths-
If
=
If
=
Maths-General
Maths-
The value of
is
The value of
is
Maths-General
Maths-
If ABC is a triangle and
are H.P then the minimum value of
is equal to
If ABC is a triangle and
are H.P then the minimum value of
is equal to
Maths-General
Maths-
If
then
is equal to
If
then
is equal to
Maths-General
Maths-
If A,B,C re in A.P and
then
=
If A,B,C re in A.P and
then
=
Maths-General
maths-
If
do not differ by a multiple of
and if
Then k equals
If
do not differ by a multiple of
and if
Then k equals
maths-General
maths-
From the figure AOC=
![](data:image/png;base64,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)
From the figure AOC=
![](data:image/png;base64,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)
maths-General
maths-
In
ABC, D,E,F are the midpoints of sides BC, CA and AB respectively then ar ![open parentheses B D E F close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAQCAYAAABN0MIqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAdhJREFUeNrtlzFIA0EQRZcrgtinCClsxFICIiJiFyRYiAQsREREEJEgFoKlhU2wEgsbCcEiCClSWIggVkFsg6UgYmmTQiwkBOI/mIN1mN3bk1sw4IfX7H4mk9mbuT2lfmoXVNXfV5Vy9aZJ8KiGRw+Us7fgBcPeF+iDN/ACrkFO8Aw0PkETjFliDgR6ILB4ov0p0PZRiAIVQ9I46LC1Y1C3eAIqVoUKWHaIqX7haVNRUtUJJS5pGTTYWpmtSZ5IK+BDO+04fxLPno8ZdwvmDXtH4JCtXYIS8xxY4octMx0T0+V3uWbBfdrFCE8uY9hr0ikF1E41sC94lizxw4SLQkybXDwZyl3SwAFRfcsPPrOhWDJ4cpYYryBriKmTj/Hkhdi9tJ8MUzECKkB0CkV6/U4YPJJGwXsCv6vHWzFMbTIj9OQaDVybR9cGuEjgd/V4a5M7MCesr9KM0LXO/pzk0fXELkdx/shTdyiGlwFqerWegU22VqNkbZ5Ip4Ry9OueLYe8K+wp9XrpamkDM0t3hg5rqRYbquHeArgB5zExTQo9iw55e7l0KRqM/K7f1forvBpfCRNd9/RpWDboEZbUtfRwRvOMxOTr7Tr+/6EmaGdIPuHDObGddtBvbMahs1/IcPkAAACgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pPkI8L21pPjxtaT5EPC9taT48bWk+RTwvbWk+PG1pPkY8L21pPjwvbXJvdz48L21mZW5jZWQ+PG1vPj08L21vPjwvbWF0aD4atMI7AAAAAElFTkSuQmCC)
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)
In
ABC, D,E,F are the midpoints of sides BC, CA and AB respectively then ar ![open parentheses B D E F close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAQCAYAAABN0MIqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAdhJREFUeNrtlzFIA0EQRZcrgtinCClsxFICIiJiFyRYiAQsREREEJEgFoKlhU2wEgsbCcEiCClSWIggVkFsg6UgYmmTQiwkBOI/mIN1mN3bk1sw4IfX7H4mk9mbuT2lfmoXVNXfV5Vy9aZJ8KiGRw+Us7fgBcPeF+iDN/ACrkFO8Aw0PkETjFliDgR6ILB4ov0p0PZRiAIVQ9I46LC1Y1C3eAIqVoUKWHaIqX7haVNRUtUJJS5pGTTYWpmtSZ5IK+BDO+04fxLPno8ZdwvmDXtH4JCtXYIS8xxY4octMx0T0+V3uWbBfdrFCE8uY9hr0ikF1E41sC94lizxw4SLQkybXDwZyl3SwAFRfcsPPrOhWDJ4cpYYryBriKmTj/Hkhdi9tJ8MUzECKkB0CkV6/U4YPJJGwXsCv6vHWzFMbTIj9OQaDVybR9cGuEjgd/V4a5M7MCesr9KM0LXO/pzk0fXELkdx/shTdyiGlwFqerWegU22VqNkbZ5Ip4Ry9OueLYe8K+wp9XrpamkDM0t3hg5rqRYbquHeArgB5zExTQo9iw55e7l0KRqM/K7f1forvBpfCRNd9/RpWDboEZbUtfRwRvOMxOTr7Tr+/6EmaGdIPuHDObGddtBvbMahs1/IcPkAAACgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pPkI8L21pPjxtaT5EPC9taT48bWk+RTwvbWk+PG1pPkY8L21pPjwvbXJvdz48L21mZW5jZWQ+PG1vPj08L21vPjwvbWF0aD4atMI7AAAAAElFTkSuQmCC)
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)
maths-General