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Maths-

General

Easy

Question

Let $a with minus on top equals i with minus on top plus j with minus on top plus p k with minus on top comma b with minus on top equals i with minus on top plus j with minus on top plus k with minus on top$ then $vertical line stack a with minus on top plus stack b with rightwards arrow on top vertical line equals vertical line stack a with rightwards arrow on top vertical line plus vertical line stack b with minus on top vertical line$ holds for

all real $p$
no real $p$
$p = - 1$
$p = 1$

The correct answer is: $p equals 1$

$vertical line stack a with ‾ on top plus stack b with rightwards arrow on top vertical line equals vertical line stack a with rightwards arrow on top vertical line plus vertical line stack b with rightwards arrow on top vertical line rightwards double arrow stack a with ‾ on top comma stack b with ‾ on top$ are parallel.

Related Questions to study

The distance of the point $3 i with ˆ on top plus 5 k with ˆ on top$ from the line parallel to vector $6 i with ˆ on top plus j with ˆ on top minus 2 k with ˆ on top$ and passing through the point $8 i with ˆ on top plus 3 j with ˆ on top plus k with ˆ on top$ is

For such questions, we should know different formulas of distances for line or plane.

The distance of the point $3 i with ˆ on top plus 5 k with ˆ on top$ from the line parallel to vector $6 i with ˆ on top plus j with ˆ on top minus 2 k with ˆ on top$ and passing through the point $8 i with ˆ on top plus 3 j with ˆ on top plus k with ˆ on top$ is

For such questions, we should know different formulas of distances for line or plane.

The value of 'a' so that the volume of parallel piped formed by $i with ˆ on top plus a j with ˆ on top plus k with ˆ on top comma j with ˆ on top plus a k with ˆ on top$ and $a with ˆ on top plus k with ˆ on top$ becomes minimum is

For such questions, we should know the volume of parallelepiped.

The value of 'a' so that the volume of parallel piped formed by $i with ˆ on top plus a j with ˆ on top plus k with ˆ on top comma j with ˆ on top plus a k with ˆ on top$ and $a with ˆ on top plus k with ˆ on top$ becomes minimum is

For such questions, we should know the volume of parallelepiped.

There are following extraction process of silver but not

There are following extraction process of silver but not

Chemistry-General

parallel

$I n space triangle A B C comma space i f space x equals tan invisible function application left parenthesis left parenthesis B minus C right parenthesis divided by 2 right parenthesis tan invisible function application A divided by 2 comma y equals tan invisible function application left parenthesis left parenthesis C minus A right parenthesis divided by 2 right parenthesis tan invisible function application B divided by 2 comma z equals tan invisible function application left parenthesis left parenthesis A minus B right parenthesis divided by 2 right parenthesis tan invisible function application C divided by 2 space t space h space e n space x plus y plus z space$
in terms terms only is

$I n space triangle A B C comma space i f space x equals tan invisible function application left parenthesis left parenthesis B minus C right parenthesis divided by 2 right parenthesis tan invisible function application A divided by 2 comma y equals tan invisible function application left parenthesis left parenthesis C minus A right parenthesis divided by 2 right parenthesis tan invisible function application B divided by 2 comma z equals tan invisible function application left parenthesis left parenthesis A minus B right parenthesis divided by 2 right parenthesis tan invisible function application C divided by 2 space t space h space e n space x plus y plus z space$
in terms terms only is

$n space triangle A B C space left parenthesis c o t invisible function application A divided by 2 plus c o t invisible function application B divided by 2 plus c o t invisible function application C divided by 2 right parenthesis divided by left parenthesis c o t invisible function application A plus c o t invisible function application B plus c o t invisible function application C right parenthesis equals$

$n space triangle A B C space left parenthesis c o t invisible function application A divided by 2 plus c o t invisible function application B divided by 2 plus c o t invisible function application C divided by 2 right parenthesis divided by left parenthesis c o t invisible function application A plus c o t invisible function application B plus c o t invisible function application C right parenthesis equals$

$I n space triangle A B C comma space i f space x equals$ $tan invisible function application left parenthesis left parenthesis B minus C right parenthesis divided by 2 right parenthesis tan invisible function application A divided by 2 comma y equals tan invisible function application left parenthesis left parenthesis C minus A right parenthesis divided by 2 right parenthesis tan invisible function application B divided by 2 comma z equals tan invisible function application left parenthesis left parenthesis A minus B right parenthesis divided by 2 right parenthesis tan invisible function application C divided by 2 space t space h space e n space x plus y plus z space i n space t e r m s space left parenthesis x comma y comma z space t e r m s space o n l y space right parenthesis space i s$

$I n space triangle A B C comma space i f space x equals$ $tan invisible function application left parenthesis left parenthesis B minus C right parenthesis divided by 2 right parenthesis tan invisible function application A divided by 2 comma y equals tan invisible function application left parenthesis left parenthesis C minus A right parenthesis divided by 2 right parenthesis tan invisible function application B divided by 2 comma z equals tan invisible function application left parenthesis left parenthesis A minus B right parenthesis divided by 2 right parenthesis tan invisible function application C divided by 2 space t space h space e n space x plus y plus z space i n space t e r m s space left parenthesis x comma y comma z space t e r m s space o n l y space right parenthesis space i s$

parallel

Two sides of triangle are given by equation and angle between
the sides is $pi divided by 3.$ Then perimeter of the triangle is

Two sides of triangle are given by equation and angle between
the sides is $pi divided by 3.$ Then perimeter of the triangle is

$I n a triangle A B C comma a left parenthesis c o s squared invisible function application B plus c o s squared invisible function application C right parenthesis plus c o s invisible function application A left parenthesis c c o s invisible function application C plus b c o s invisible function application B right parenthesis equals$

$I n a triangle A B C comma a left parenthesis c o s squared invisible function application B plus c o s squared invisible function application C right parenthesis plus c o s invisible function application A left parenthesis c c o s invisible function application C plus b c o s invisible function application B right parenthesis equals$

$left parenthesis I n space triangle A B C comma left parenthesis cos invisible function application C plus cos invisible function application A right parenthesis divided by left parenthesis c plus a right parenthesis plus left parenthesis cos invisible function application B right parenthesis divided by b equals & right parenthesis$

$left parenthesis I n space triangle A B C comma left parenthesis cos invisible function application C plus cos invisible function application A right parenthesis divided by left parenthesis c plus a right parenthesis plus left parenthesis cos invisible function application B right parenthesis divided by b equals & right parenthesis$

parallel

$I n space capital delta A B C sum a cubed c o s invisible function application left parenthesis B minus C right parenthesis equals$

$I n space capital delta A B C sum a cubed c o s invisible function application left parenthesis B minus C right parenthesis equals$

$I n space a n y space triangle A B C left parenthesis left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis right parenthesis divided by left parenthesis 4 b squared c squared right parenthesis$

$I n space a n y space triangle A B C left parenthesis left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis right parenthesis divided by left parenthesis 4 b squared c squared right parenthesis$

$142 I n triangle A B C sum a cubed S i n invisible function application left parenthesis B minus C right parenthesis equals$

$142 I n triangle A B C sum a cubed S i n invisible function application left parenthesis B minus C right parenthesis equals$

parallel

$I n space triangle A B C comma sum a left parenthesis sin invisible function application B minus sin invisible function application C right parenthesis equals$

$I n space triangle A B C comma sum a left parenthesis sin invisible function application B minus sin invisible function application C right parenthesis equals$

The perimeter of a Δ $A B C space$ is 6 times the A.M of the sines of its angles if the side ' is , then the angle is

The perimeter of a Δ $A B C space$ is 6 times the A.M of the sines of its angles if the side ' is , then the angle is

The angles of a triangle are in the ratio 3:5:10. Then ratio of smallest to greatest side is

The angles of a triangle are in the ratio 3:5:10. Then ratio of smallest to greatest side is

parallel

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