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Select the correct option from the given alternatives: In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are

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प्रश्न

Select the correct option from the given alternatives:

In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are

पर्याय

  • `2 : sqrt2 : sqrt3 + 1`

  • `sqrt2 : 2 : sqrt3 + 1`

  • `2sqrt2 : sqrt2 : sqrt3`

  • `2 : 2sqrt2 : sqrt3 + 1`

MCQ
रिकाम्या जागा भरा
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उत्तर

In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are `bbunderline(2 : sqrt2 : sqrt3 + 1)`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०७]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.07 | पृष्ठ १०७

संबंधित प्रश्‍न

Find the principal solution of the following equation:

cot θ = 0


Find the principal solution of the following equation: 

tan θ = – 1


Find the principal solution of the following equation:

`sqrt(3)` cosecθ + 2 = 0 


Find the general solution of the following equation :

cosθ = `sqrt(3)/(2)`


Find the general solution of the following equation:

cosec θ = - √2.


Find the general solution of the following equation:

cos 4θ = cos 2θ


In ΔABC, if ∠A = 45°, ∠B = 60° then find the ratio of its sides.


In ΔABC, if a cos A = b cos B then prove that the triangle is either a right angled or an isosceles traingle.


Select the correct option from the given alternatives:

The principal solutions of equation sin θ = `- 1/2` are ______.


Select the correct option from the given alternatives:

The general solution of sec x = `sqrt(2)` is ______.


Select the correct option from the given alternatives:

If polar coordinates of a point are `(2, pi/4)`, then its cartesian coordinates are


If in a triangle, the angles are in A.P. and b: c = `sqrt3: sqrt2`, then A is equal to


The principal value of sin1 `(- sqrt3/2)` is ______.


Select the correct option from the given alternatives:

`"tan"(2"tan"^-1 (1/5) - pi/4)` = ______


If tan θ + tan 2θ + tan 3θ = tan θ.tan 2θ. tan 3θ, then the general value of the θ is ______.


Select the correct option from the given alternatives:

In any ΔABC, if acos B = bcos A, then the triangle is


Find the general solutions of the following equation:

sin2 θ - cos2 θ = 1


Find the general solutions of the following equation:

sin θ - cos θ = 1


If 2 tan-1(cos x) = tan-1(2 cosec x), then find the value of x.


If sin-1(1 - x) - 2 sin-1x =  `pi/2`, then find the value of x.


If tan-12x + tan-13x = `pi/4`, then find the value of x.


Show that `tan^-1  1/2 = 1/3  tan^-1  11/2`


If x, y, z are positive, then prove that

`tan^-1 (("x - y")/(1 + "xy")) + tan^-1 (("y - z")/(1 + "yz")) + tan^-1 (("z - x")/(1 + "zx")) = 0`


The principal solutions of `sqrt(3)` sec x − 2 = 0 are ______


Find the principal solutions of tan x = `-sqrt(3)`


`int 1/(sin x * cos x)` dx = ?


If tan-1 x + 2cot-1 x = `(5pi)/6`, then x is


`[sin (tan^-1  3/4)]^2 + [sin(tan^-1  4/3)]^2 = ?`


If f(x) = sin-1`(sqrt((1 - x)/2))`, then f'(x) = ?


If x + y = `pi/2`, then the maximum value of sin x. sin y is.


The principal solutions of cot x = `sqrt3` are ______.


Which of the following equations has no solution?


If function

f(x) = `x - |x|/x, x < 0`
      = `x + |x|/x, x > 0`
      = 1, x = 0, then


If 4 sin-1x + 6 cos-1 x = 3π then x = ______.


The measure of the angle between lines (sin2θ - 1)x2 - 2xy cos2θ + cos2θy2 = 0 is ______ 


The general solution of cot θ + tan θ = 2 is ______.


The general value of θ in the equation `2sqrt(3) cos theta = tan theta` is ______.


The general solution of cosec x = `-sqrt2` is ______ 


The number of solutions of sin x + sin 3x + sin 5x = 0 in the interval `[pi/2, (3pi)/2]` is ______.


Find the principal solutions of cot θ = 0


The general solution of x(1 + y2)1/2 dx + y(1 + x2)1/2 dy = 0 is ______.


Which of the following equation has no solution?


The number of principal solutions of tan 2θ = 1 is ______.


The general solution of the equation tan2 x = 1 is ______.


If a = sin θ + cos θ, b = sin3 θ + cos3 θ, then ______.


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