Maths-
General
Easy
Question
The angle between the lines x
and x cos
where
is
The correct answer is: ![alpha minus beta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAPCAYAAACWV43jAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAUBJREFUeNpjYBgcIAOIrwDxDyA+DMSyDIMINAPxBCDmAWImIO4B4qWDxXEqQHwOTSwUnwOFgXghNKgXQn0FAwuhmqkJKqEYGYCi2BybYjYgPgrEXlD2fiCeApWTx+JTaoBVQBwAZWsA8TZoesQKatF8YwDEd6FsUJDb0sCBt4BYGkr/hwaCFi7Fj9GiFAQOArEbEE/DY8l/IjA2AMoQ35D4okBcAsTvoKGJAoyhcY8OkoH4OBaHUwOYQ5MROmgE4kkMWHLOciyKF0LTJS1AJBDPxyIeC8Rz0QWDgHgdmthsIE6EhqwKDRw4CUeG2AtNViiAD4jvA7EaEAtCfTYTKrcNmoGoDUABcgmILZHKxHU4QhVelOyH5iTk8i4eahC1wTtoEfMUWu4eh9o1KAConP3EMIiBF5Y0P6hAPLaiBBsAAHLnRWSRxL2TAAAAaXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQjE7PC9taT48bW8+LTwvbW8+PG1pPiYjeDNCMjs8L21pPjwvbWF0aD7OpntwAAAAAElFTkSuQmCC)
We should find the angle between two straight lines
xcosα+ysinα=p1
slope=m1=sinα−cosα=−cotα
And xcosβ+ysinβ=p2
slope=m2=sinβ−cosβ=−cotβ
Therefore,
tanθ=∣tan(α−β)∣
⇒θ=α−β
Hence θ=α−β
Related Questions to study
maths-
The wheel rim has a diameter of 15 Metres. Which of the following is closest to the inside circumference of the Tyre designed to fit on the rim. ?
![](data:image/png;base64,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)
The wheel rim has a diameter of 15 Metres. Which of the following is closest to the inside circumference of the Tyre designed to fit on the rim. ?
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)
maths-General
Maths-
The circle graph represents a total of 240 animals. The shaded area represents the number of monkeys. How many of the animals many of the animals are monkeys?
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)
The circle graph represents a total of 240 animals. The shaded area represents the number of monkeys. How many of the animals many of the animals are monkeys?
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)
Maths-General
chemistry-
An aldehyde on treatment with
yields:
An aldehyde on treatment with
yields:
chemistry-General
Maths-
In the figure if TP and TQ are the two tangents to a circle with centre O so that ÐPOQ = 110º, then ÐPTQ is equal to
![](data:image/png;base64,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)
Hence ∠PTQ = 70°
In the figure if TP and TQ are the two tangents to a circle with centre O so that ÐPOQ = 110º, then ÐPTQ is equal to
![](data:image/png;base64,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)
Maths-General
Hence ∠PTQ = 70°
Maths-
the straight lines x
and
passes through the point
the straight lines x
and
passes through the point
Maths-General
chemistry-
Ether fire can be extinguished by:
Ether fire can be extinguished by:
chemistry-General
Maths-
In the figure,
, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of DA.OB.
![](data:image/png;base64,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)
In the figure,
, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of DA.OB.
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure, compute the area of quadrilateral ABCD.
![](data:image/png;base64,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)
In the figure, compute the area of quadrilateral ABCD.
![](data:image/png;base64,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)
Maths-General
chemistry-
Glycerol is oxidised by bismuth nitrate to produce
Glycerol is oxidised by bismuth nitrate to produce
chemistry-General
chemistry-
Diethyl ether may be regarded as anhydride of:
Diethyl ether may be regarded as anhydride of:
chemistry-General
Maths-
If a line AB makes an angle
with OX and is at a distance of
units from the origin then the equation of AB is
If a line AB makes an angle
with OX and is at a distance of
units from the origin then the equation of AB is
Maths-General
chemistry-
Ethylene glycol gives oxalic acid on oxidation with
Ethylene glycol gives oxalic acid on oxidation with
chemistry-General
physics-
Two thermometers A and B are exposed in sun light. The valve of A is pointed black, but that of B is not pointed. The correct statement regarding this case is
Two thermometers A and B are exposed in sun light. The valve of A is pointed black, but that of B is not pointed. The correct statement regarding this case is
physics-General
physics-
Two conducting rods
and
of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of
is maintained. If thermal conductivity of
is
and that of
is
then the ratio of heat current flowing in parallel combination to that flowing in series combination is
![](data:image/png;base64,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)
Two conducting rods
and
of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of
is maintained. If thermal conductivity of
is
and that of
is
then the ratio of heat current flowing in parallel combination to that flowing in series combination is
![](data:image/png;base64,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)
physics-General
chemistry-
When glycerol is treated with excess of
it produces:
When glycerol is treated with excess of
it produces:
chemistry-General