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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:

If (1 + sinA)/cosA + cosA/(1 + sinA) = x, then the value of x is

A) 2cosecA B) 2cosec2A
C) 2sec2A D) 2secA
 
Answer & Explanation Answer: D) 2secA

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Q:

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?

A) 90 B) 120
C) 150 D) 135
 
Answer & Explanation Answer: B) 120

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Q:

If tanθ = 724 then find the value of p such that tanθ - secθsinθ = -p28

A) 25 B) 75
C) 50 D) 100
 
Answer & Explanation Answer: B) 75

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Q:

If 1+121+141+161+181-131-151-17 = 1+ 1x, then what is the value of x?

A) 6 B) 8
C) 5 D) 7
 
Answer & Explanation Answer: B) 8

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Q:

If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz – x2 – y2 – z2?

A) – 4 B) 2
C)  – 1 D) – 6
 
Answer & Explanation Answer: A) – 4

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Q:

ΔABC is right angled at B. If cotA = 7/24, then what is the value of cosecC ?

A) 7/25 B) 25/7
C) 24/7 D) 7/24
 
Answer & Explanation Answer: B) 25/7

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Q:

What is the reflection of the point (4, 7) in the line y = -1?

A) (-6 , 7) B) (-4 , -9)
C) (4 , -9) D) (-6 , -7)
 
Answer & Explanation Answer: C) (4 , -9)

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Q:

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

A) 30° B) 45°
C) 60° D) 90°
 
Answer & Explanation Answer: C) 60°

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