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The value of   is equal to :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1) Option 2) Option 3)   Option 4)

The angles A,B and C of a triangle ABC are in A.P.  and .

If c = 4 cm , then the area ( in sq. cm) of this triangle is:

• Option 1)

• Option 2)

• Option 3)

• Option 4)

In  , A,B,C are in A.P. =>  Now, it is given that a:b= Now, Area of                                                                                         Option 1) Option 2) Option 3) Option 4)

Let S be the set of all  such that the equation,  has a solution. Then S is equal to:

• Option 1)

R

• Option 2)

[1,4]

• Option 3)

[3,7]

• Option 4)

[2,6]

=>  =>  =>  For atleast one solution, Option 1) R Option 2) [1,4] Option 3) [3,7] Option 4) [2,6]

The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be  from a point A on the plane. Let B be the point 30 m vertically above point A.  If the angle of elevation of distance (in m) of the foot of the tower from the point A is:

• Option 1)

• Option 2)

• Option 3)

• Option 4)

from (1) and (2) or Option 1)        Option 2)Option 3)Option 4)

The derivative of ,

with respect to , where  is :

• Option 1)

1

• Option 2)

• Option 3)

• Option 4)

2

Derivation of             Now,  Option 1) 1     Option 2) Option 3) Option 4) 2

The number of solutions of the equation     is :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Trigonometric Identities - - wherein They are true for all real values of      Results from General Solution - -                                                       Rewrite the trignometric equation  at  This value is also true for  Option 1) Option 2) Option 3) Option 4)

The equation  represents a straight line lying in :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1) first, third and fourth quadrants  Option 2) third and fourth quadrants only Option 3) first, second and fourth quadrants Option 4) second and third quadrants only

If  , where ,

, , then for all

is equal to :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

where , ,                           Squaring both the sides So, option (1) is correct. Option 1) Option 2) Option 3) Option 4)

ABC is a triangular park with AB = AC = 100 metres.A vertical tower is situated at the midpoint of BC. if the angles of elevation of the top of the tower at A and B are   respectively , then the height of the tower (in meters) is :

• Option 1)

• Option 2)

• Option 3)

20

• Option 4)

25

AM = y ; MD = h ( tower height ) ............................(1)   =>   =>  =>  from (1) .............................(2) ..........................................(3) correct option(3)    Option 1)Option 2)Option 3)20Option 4)25

The value of     is :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1) Option 2) Option 3) Option 4)

Two poles are standing on a horizantal ground are of heights  respectively . The line joining their tops makes an angle of  with the ground . Then the distance ( in m ) between the poles, is :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1)Option 2)Option 3)Option 4)

Let

Then the sum of the elements of  is :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Given equation      OR Hence solution is  Option 1)             Option 2) Option 3) Option 4)

The value of  is:

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1)   Option 2)Option 3)Option 4)

If the lengths of the sides of a triangle are in A.P. and the greatest angle is double the smallest, then a ratio of lengths of the sides of this triangle is :

• Option 1) • Option 2) • Option 3) • Option 4) Let be side of      is smallest angle Three angles are,  Given,  Use sine rule.                                                               Option 1) Option 2) Option 3) Option 4)

is equal to :

(Where c is a constant of integration.)

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1) Option 2) Option 3)   Option 4)

If then is equal to :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

then , Option 1) Option 2) Option 3)   Option 4)

If  and  then  is equal to :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Option 1) Option 2) Option 3)   Option 4)

If where then is equal to :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Then No option matched.

Option 1)

Option 2)

Option 3)

Option 4)

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Given   for a  with usual notation.

If  then the ordered triad  has a value :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Cosine Rule - Cosine Rule - null Using Cosine Formula, Option 1)Option 2)Option 3)Option 4)

In a triangle, the sum of lengths of two sides is  and the product of the lengths of the same two sides is .

If , where c is the length of the third side of the triangle, then the circumradius of the triangle is :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

Allied Angles - - wherein The trigonometric ratios for angles in all the four quadrants.     Trigonometric Ratios of Special Angles - - wherein These are the values of trigonometric ratios for standard angles.      Let a,b,c be 3 sides of trangle a+b=x ab=y Circumradius ,     Option 1)  Option 2)  Option 3)  Option 4)
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