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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 - Mathematics and Statistics

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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.

shaalaa.com
Trigonometric Equations and Their Solutions
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०८]

APPEARS IN

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

संबंधित प्रश्‍न

Find the principal solution of the following equation: 

Sec θ = `(2)/sqrt(3)`


Find the principal solution of the following equation :

cot θ = `sqrt(3)`


Find the general solution of the following equation :

cosθ = `sqrt(3)/(2)`


Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`


Find the general solution of the following equation:

tan θ = - 1


Find the general solution of the following equation:

cot 4θ = – 1


Find the general solution of the following equation:

cos 4θ = cos 2θ


Find the general solution of the following equation:

cosθ + sinθ = 1.


State whether the following equation has a solution or not?

2sinθ = 3


Select the correct option from the given alternatives:

If cos pθ = cos qθ, p ≠ q, then ______.


If `sqrt3`cos x - sin x = 1, then general value of x is ______.


Select the correct option from the given alternatives:

The value of cot (tan-12x + cot-12x) 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)` = ______


The principal value branch of sec-1x is ______.


Find the principal solutions of the following equation:

tan 3θ = - 1


Find the principal solutions of the following equation:

cot θ = 0


Find the general solutions of the following equation:

sin θ - cos θ = 1


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


Show that `cos^-1  sqrt3/2 + 2 sin^-1  sqrt3/2 = (5pi)/6`.


Prove the following:

`cos^-1 "x" = tan^-1 (sqrt(1 - "x"^2)/"x")`, if x > 0


If `tan^-1 "x" + tan^-1 "y" + tan^-1 "z" = pi/2,` then show that xy + yz + zx = 1


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


Find the principal solutions of sin x − 1 = 0


Find the principal solutions of sin x = `-1/2`


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 ______.


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


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


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


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


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


If `(tan 3 theta - 1)/(tan 3 theta + 1) = sqrt3`, 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 ______.


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 the equation tan θ + tan 4θ + tan 7θ = tan θ tan 4θ tan 7θ is ______.


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


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


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