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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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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: 

cosθ = `(1)/(2)`


Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`


Find the general solution of the following equation:

cosec θ = - √2.


Find the general solution of the following equation:

tan θ = - 1


Find the general solution of the following equation:

4 cos2 θ  = 3


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


`"cos"^-1 ("cos" (7pi)/6)` = _________.


If `"sin"^-1 4/5 + "cos"^-1 12/13 = "sin"^-1 alpha`, then α = ______.


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


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


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


Find the principal solutions of the following equation:

tan 3θ = - 1


Find the general solutions of the following equation:

`tan^2 theta = 3`


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


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`.


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


Find the principal solutions of sin x − 1 = 0


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


`cos^-1 (cos  (4pi)/3)` = ______.


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


If `|bar"a"|` = 10, `|bar"b"| = 2`, then `sqrt(|bar"a" xx bar"b"|^2 + |bar"a"*bar"b"|^2)` = ?


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


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


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


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


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


Which of the following equations has no solution?


Which of the following is true in a triangle ABC?


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


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


If y = `(2sinα)/(1 + cosα + sinα)`, then value of `(1 - cos α + sin α)/(1 + sin α)` is ______.


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


With usual notations, in any ΔABC, if a cos B = b cos A, then the triangle is ______.


The general solution of cot 4x = –1 is ______.


If `2sin^-1  3/7` = cos–1β, then find the value of β.


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


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


If tan3θ = cotθ, then θ =


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