Home
Class 12
MATHS
Statement-I: In triangleABC, sin A + sin...

Statement-I: In `triangleABC, sin A + sin B gt sin C`
Statement-II: In `triangleABC`, sum of two sides is always greater than the third side.

A

Statement-I is true, statement-II is true and statement-II is a correct explanation for statement- I.

B

Statement-I is true, Statement-II is true but Statement-II is not a correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement-II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC, sum(sin^2A+sinA+1)/sinA is always greater than

In triangleABC,sin((B+C)/2) =

Knowledge Check

  • In triangleABC sin^2A+sin^2B =sin^2C then angleC=

    A
    a) `30^@`
    B
    b) `60^@`
    C
    c) `90^@`
    D
    d)`120^@`

  • If in a triangle ABC, sin^2A+sin^2B+sin^2C=2 then the triangle is always

    A
    isosceles
    B
    right angled
    C
    acute angled
    D
    obtuseangled

  • In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

    A
    9
    B
    3
    C
    27
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    In triangle ABC, (i) asin(A/2 + B) = (b+c) sin A/2

    Show that none of the following sentences is a statement : The sum of a and b is greater than 2 .

    This question has Statement I and Statement II. Of the four choices given after the Statement,choose the one that best describe the two Statements. Statement-I: vector addition of two vectors is always greater than their vector subtraction. Statement-II : At theta=90^@ ,two are equal .

    This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement - I: There is no gas in the atmosphere of moon. Statement - II: Root mean square velocity of gases are greater than escape velocity of moon.

    This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement-I : All combustion reactions are exothermic. Statement-II : Enthalpies of products are greater than enthalpies of reactants (sumV_PDelta_fH(P) gt sum V_RDelta_f H(R))

    Home
    Profile