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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

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: 

cosθ = `(1)/(2)`


Find the principal solution of the following equation:

sin θ = `-1/2`


Find the principal solution of the following equation: 

tan θ = – 1


Find the general solution of the following equation:

cot θ = 0.


Find the general solution of the following equation:

sec θ = `sqrt(2)`.


Find the general solution of the following equation:

cosec θ = - √2.


Find the general solution of the following equation:

cot 4θ = – 1


Find the general solution of the following equation:

cosθ + sinθ = 1.


State whether the following equation have solution or not?

cos 2θ = – 1


In ΔABC, prove that `sin(("B" − "C")/2) = (("b" − "c")/"a")cos  "A"/(2)`.


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 value of cot (tan-12x + cot-12x) is


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


Select the correct option from the given alternatives:

`2 "tan"^-1 (1/3) + "tan"^-1 (1/7) =` _____


`cos[tan^-1  1/3 + tan^-1  1/2]` = ______


Find the general solutions of the following equation:

`tan theta = - sqrt3`


Find the general solutions of the following equation:

sin2 θ - cos2 θ = 1


In Δ ABC, prove that `cos(("A" - "B")/2) = (("a" + "b")/"c")sin  "C"/2` .


In Δ ABC, if cos A = sin B - cos C then show that it is a right-angled triangle.


State whether the following equation has a solution or not?

3 sin θ = 5


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`


Find the principal solutions of cosec x = 2


If cos–1x + cos–1y – cos–1z = 0, then show that x2 + y2 + z2 – 2xyz = 1


If sin-1 x = `pi/10`, for some x ∈ [-1, 1], then the value of cos-1 x is _______.


The value of tan 57°- tan 12°- tan 57° tan 12° is ______.


If y = sin-1 `[(sqrt(1 + x) + sqrt(1 - x))/2]`, then `"dy"/"dx"` = ?


The values of x in `(0, pi/2)` satisfying the equation sin x cos x = `1/4` are ______.


The number of solutions of `sin^2 theta = 1/2` in [0, π] is ______.


Which of the following equations has no solution?


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 ______ 


If sin θ + cos θ = 1, then the general value of θ is ______.


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


The equation 3sin2x + 10 cos x – 6 = 0 is satisfied, if ______.


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


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


The general solution of the equation tan θ + tan 4θ + tan 7θ = tan θ tan 4θ tan 7θ is ______.


Which of the following equation has no solution?


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


The general solution of sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is ______.


Find the general solution of sin θ + sin 3θ + sin 5θ = 0


Prove that the general solution of cos θ = cos α is θ = 2nπ ± α, n ∈ Z.


If `tanx/(tan 2x) + (tan 2x)/tanx + 2` = 0, then the general value of x is ______.


If tan3θ = cotθ, then θ =


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