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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: 

Sec θ = `(2)/sqrt(3)`


Find the principal solution of the following equation:

cot θ = 0


Find the principal solution of the following equation:

sin θ = `-1/2`


Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`


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:

4sin2θ = 1.


State whether the following equation have solution or not?

cos 2θ = – 1


State whether the following equation has a solution or not?

2sinθ = 3


State whether the following equation have solution or not?

3 tanθ = 5


In Δ ABC, prove that a3 sin(B – C) + b3sin(C – A) + c3sin(A – B) = 0


With usual notations prove that 2(bc cosA + ac cosB + ab cosC) = a2 + b2 + c2 .


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 principal solutions of equation cot θ = `sqrt3` 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, ac cos B - bc cos A = _______


Select the correct option from the given alternatives:

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


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


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


Find the general solutions of the following equation:

sin2 θ - cos2 θ = 1


If 2 tan-1(cos x) = tan-1(2 cosec x), 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`


Prove the following:

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


Prove the following:

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


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 ______


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 _______.


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


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?


The number of solutions of cos 2θ = sin θ in (0, 2π) is ______


The value of θ in (π, 2π) satisfying the equation sin2θ - cos2θ = 1 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 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.


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


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


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


The general solution to cos100x – sin100x = 1 is ______.


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


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


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


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