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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Select the correct option from the given alternatives: In any ΔABC, if a cos B = b cos A, then the triangle is

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प्रश्न

Select the correct option from the given alternatives:

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

पर्याय

  • equilateral triangle

  • isosceles triangle

  • scalene

  • right-angled

MCQ
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उत्तर

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

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पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०८]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.20 | पृष्ठ १०८

संबंधित प्रश्‍न

Find the principal solution of the following equation :

cot θ = `sqrt(3)`


Find the principal solution of the following equation:

cot θ = 0


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:

sin 2θ = `1/2`


Find the general solution of the following equation:

tan `(2θ)/(3) = sqrt3`


Find the general solution of the following equation:

sin θ = tan θ


State whether the following equation has a solution or not?

2sinθ = 3


State whether the following equation have solution or not?

3 tanθ = 5


Select the correct option from the given alternatives:

The principal solutions of equation cot θ = `sqrt3` 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


Select the correct option from the given alternatives:

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


Select the correct option from the given alternatives:

In ΔABC if c2 + a2 – b2 = ac, then ∠B = ____.


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


Select the correct option from the given alternatives:

If tan-1(2x) + tan-1(3x) = `pi/4`, then x = _____


Select the correct option from the given alternatives:

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


Find the principal solutions of the following equation:

sin 2θ = `-1/2`


Find the principal solutions of the following equation:

tan 3θ = - 1


Find the general solutions of the following equation:

sin θ - cos θ = 1


If `(sin "A")/(sin "C") = (sin ("A - B"))/(sin ("B - C"))`, then show that a2, b2, c2 are in A.P.


Show that `tan^-1  1/2 - tan^-1  1/4 = tan^-1  2/9`.


Show that `cot^-1  1/3 - tan^-1  1/3 = cot^-1  3/4`.


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


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


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


`int (sin (log x))^2/x` log x dx = ?


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.


If 2 cos2 θ + 3 cos θ = 2, then permissible value of cos θ is ________.


Which of the following equations has no solution?


The value of `tan^-1  1/3 + tan^-1  1/5 + tan^-1  1/7 + tan^-1  1/8` is ______.


If function

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


The value of sin 18° is ______.


The general solution of sin 2x = cos 2x is ______ 


The general solution of the equation tan θ tan 2θ = 1 is given by ______ 


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


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 ______.


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


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


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


If `sin^-1  4/5 + cos^-1  12/13` = sin–1α, then find the value of α.


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