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Revision Quiz on Solution of Triangle and Inverse Trigonometric Function

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Question 1

If in a triangle, B = 60 then,

Question 2

The lengths of the sides and the diagonal of an isosceles trapezium from a two-element set . If , then equals

Question 3

Let be a triangle such that . Let be the midpoint of and be a point on such that is perpendicular to . If then the ratio equals

Question 4

In a triangle , the altitudes from and on to the opposite sides are not shorter than their respective opposite sides. Then one of the angles of is

Question 5

In a triangle then c is the root of the equation:

Question 6

Three forces A, B and C starting at a point are in equilibrium. The ratio of angles between A and B; B and C; and A and C is 1:2:3. Then, A:B:C is

Question 7

In a triangle ABC, (a + b + c) (b + c – a) = λbc if -

Question 8

In aand. Then the ordered pair is equal to:

Question 9

Points D, E are taken on the side BC of a triangle ABC such that BD = DE = EC. If BAD = x, DAE = y, EAC = z, then the value of

Question 10

If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sin A, sin B, sin C are in

Question 11

If and , then the minimum value of is:

Question 12

The range of x for which the formula hold is:

Question 13

For what interval of variation of x, the identity is true?

Question 14


Find.

Question 15

If x, y, z are in AP and are also in A.P. then find which of the following statement is true [Given: tan (90-A) = cot A]
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Aug 19JEE & BITSAT