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 Simplification Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  SIMPLIFICATION  QUESTIONS

 

 

1. BODMAS Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, 'B' stands for bracket , 'O' for of , 'D' for division and 'M' for multiplication, 'A' for addition and 'S' for subtraction.

Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order(), {} and [].

After removing the brackets, we must use the following operations strictly in the order:

(1) of    (2)division   (3) multiplication   (4)addition   (5)subtraction.

 Modulus of a real number : Modulus of a real number a is defined as |a| = aif a>0-aif a<0

 

2. Virnaculum (or bar) : When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

Q:

The figure shown below consists of the tangents at the extremeties of any chord. Choose the correct option given below.

A) ∡PAC = ∡PBC B) ∡APC = ∡BPC
C) ∆PAC ≅ ∆PBC D) All options are correct
 
Answer & Explanation Answer: D) All options are correct

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0 1071
Q:

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

A) -1/√3 B) (3-√2)/3√2
C) (2√3-1)/2 D) (√2-√3)/√6
 
Answer & Explanation Answer: C) (2√3-1)/2

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0 1070
Q:

The angle of elevation of the top of a tower from two horizontal points (in opposite sides) at distances of 25 meter and 64 meter from the base of tower are x and 90° - x respectively . The height of the tower will be

A) 39 m B) 89 m
C) 1.6 m D) 40 m
 
Answer & Explanation Answer: D) 40 m

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0 1069
Q:

For triangle PQR, find equation of altitude PS if co-­ordinates of P, Q and R are (1,2), (2,­-1) and (0,5) respectively?

A) x ­- 3y = ­-7 B) x -­ 3y = -­5
C) x + 3y = ­4 D) x + 3y = ­7
 
Answer & Explanation Answer: C) x + 3y = ­4

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0 1068
Q:

If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

A) 1/4 B) -1/4
C) 4 D) -4
 
Answer & Explanation Answer: A) 1/4

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Q:

A, B and C can finish a job working alone in 72, 24 and 36 days respectively. In how many days they can finish the job if they worked together?

A) 12 B) 9
C) 15 D) 18
 
Answer & Explanation Answer: A) 12

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Q:

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

A) cosA B) tanA
C) cotA D) sinA
 
Answer & Explanation Answer: D) sinA

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Q:

If a + b = 10 and ab- 13 = -ba - 11, then what is the value of 3ab + 4a2 + 5b2 ?

A) 450 B) 300
C) 600 D) 750
 
Answer & Explanation Answer: B) 300

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0 1065