A person is walking to the east at 2 km/hr and the rain drops appear to him dropping vertically downwards at `2sqrt(3)km//hr`. Find the actual velocity of rain.
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If `y=e^(sqrt(x))+e^(-sqrt(x))` , then `(dy)/(dx)i se q u a lto` `(e^(sqrt(x)))/(2sqrt(x))` (b) `(e^(sqrt(x))-e^(-sqrt(x)))/(2x)` `1/(2sqrt(x))sqrt(y^
`(dy)/(dx)=(e^(sqrt(x)))/(2sqrt(x))-(e^(-sqrt(x)))/(2sqrt(x))=(e^(sqrt(x)-)e^(-sqrt(x)))/(2sqrt(x))` `=(sqrt((e^(sqrt(x))+e^(-sqrt(x)))^(2))-4)/(2sqrt(x))` `=(sqrt(y^(2)-4))/(2sqrt(x))`
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If two different tangents of `y^2=4x` are the normals to `x^2=4b y ,` then `|b|>1/(2sqrt(2))` (b) `|b|<1/(2sqrt(2))` `|b|>1/(sqrt(2))` (d) `|b|<1/(sqr
Correct Answer - B (2) Tangent to `y^(2)=4x` in terms of m is `y=mx+(1)/(m)` (1) Normal to `x^(2)=4by` in terms of m is `y=mx+2b+(b)/(m^(2))` (2) Equation (1) and (2) represent same...
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In a right handed coordinate system XY plane is horizontal and Z-axis is vertically npward. A uniform magnetic field exist in space in vertically npwa
Correct Answer - `[(mv_(1))/(qB) sin ((qBt)/(m)), - (mv_(1))/(qB) (1 - cos ((qBt)/(m))), v_(2) t]`
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A electron moves through a uniform magnetic field given by `vec(B)=B_(x) hat(i)+(3B_(x))hat(j)`. At a particular instant, the electron has the velocit
Correct Answer - `[B_(x)-2.0 T]`
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When released from certain height why do objects tend to fall vertically downwards?
When released from certain height, objects tend to fall vertically downwards because of the gravitational force exerted by the Earth.
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Find the positive square root of the following : `10+2sqrt(6)+sqrt(60)+2sqrt(10)`
Correct Answer - `sqrt(2)+sqrt(3)+sqrt(5)`
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Rain is falling vertically downwards with a velocity of 2m//s. A person is runing to the North with a velocity of `2sqrt(3)`m/s. Find out the velocity
Correct Answer - 4 m/s In south direction, at `60^(@)` with vertical
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Find the roots of each of the following equations, if they exist, by applying the quadratic formula: `sqrt(3)x^(2)-2sqrt(2)x-2sqrt(3)=0`
Correct Answer - `x=sqrt(6)" or "x=(-sqrt(2))/(sqrt(3))`
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A person is hiking on a mountain. His breathing rate is increasing while he is walking up hill.
Answer is (B) 1 and 2
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The light dispersed by the rain drops appears as a bow because ……………………
B) all drops that disperse the light towards us lie in the shape of cone with our eye as tip
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