The
sum of the ages of Anup and his father is 100. When Anup is as old as
his father now, he will be five times as old as his son anuj is now.
Anuj will be eight years older than Anup is now, when anup is as old as
his father. What are their ages now?
Sol :
Let Anup's present age be x years.
His father's present age = 100 - x.
Therefore, Anup's present age = (100-x)/5 years.
Anup becomes as old as his father is now after (100-2x) years.
Therefore after 100-2x years, we have anup's age = {(100-x)/5 (100-2x)} =(600-11x)/5.
It is given that...
Saturday, 10 August 2013
Tuesday, 21 May 2013
Magnetism
Magnetism
The
word magnetism is derived from Magnesia, the place where magnetic iron
"ORE" was first discovered. Magnet is a substance which possesses the
property of attracting small pieces of iron and sets its in North-South
direction when suspended freely. The Magnetism is a phenomenon by which this
attraction takes place.
Magnetic
Poles
If a
magnet is dipped into iron filings, it is noted that the fillings cling in tufts,
usually at two places in particular i.e. near the ends. Few filings are
attracted in the middle of the bar....
Tuesday, 14 May 2013
Solved Question No. 3 of Ex. 4.1 of Class 11th Based on Mathematical Induction
By Using the Principle of Mathematical Induction Prove that
1 + 1/ (1+2) + 1/ (1+2+3) +........+ 1/(1+2+3+....+n) = 2n/(n+1)
Sol :
...
Saturday, 11 May 2013
SOLVED QUESTION NO 2 OF EX 4.1 OF CLASS 11TH BASED ON MATHEMATICAL INDUCTION
By Using the Mathematical Induction Prove that 13 + 23 + 33
+ ……. + n3 = {n2(n+1)2}/4
Sol
...
Solved Question No 1 of Ex 4.1 of class 11th based on Mathematical Induction
Using the
Principle of Mathematical Induction Prove that 1 + 3 + 32 +…….+ 3n-1 =
(3n – 1)/2 for all natural numbers.
Sol :
...
Thursday, 25 April 2013
Conditions for Maxima and Minima
Conditions for Maxima and Minima
If y = f(x), then for maximum or minimum value
of y for a value of x the first differential coefficient of y w.r.t. x should
be zero.
i.e.
dy/dx = 0.
Find the
value of x from here.
Now, find
the 2nd derivative of y w.r.t. x i.e. d2y/dx2 and put the
value of x.
1. If the
value of d2y/dx2 is negative, then y is maximum for given
value of x.
2. If the
value of d2y/dx2 is positive, then y is minimum for a
given value of x....
Formulae of Differentiation
Fundamental Formulae of Differentiation
Derivatives of Trigonometrical Functions
Derivatives of Logarithmic and Exponential Functions
...
Wednesday, 10 April 2013
Solution of Triangles
Solution of Triangles
In a triangle, there are six elements or parts, three sides and three
angles. From plane geometry, we know that if three of the elements are given,
at least one of which must be a side, then the other three elements can be
uniquely determined. If only three angles are given, then no unique solution of
the triangle is possible but unlimited number of equiangular triangles can be
found, the three angles of which are equal to the three given...
Saturday, 30 March 2013
Properties of Triangles (This question is based on Properties of Triangles), Prove that in a triangle ABC, a^3 . cos(B-C) + b^3 . cos(C-A) + c^3 . cos(A-B) = 3abc.
Prove that in a triangle ABC,
a^3 . cos(B-C) + b^3 . cos(C-A) + c^3 . cos(A-B) = 3abc.
[IIT 1970; IC 1983]
SOLUTION :
...
In a triangle ABC, Prove that asin(B-C) + bsin(C-A) + csin(A-B) = 0
In a triangle ABC, Prove that asin(B-C) + bsin(C-A) + csin(A-B) = 0
[ISM 1973; BIT(Mesra)]
SOLUTION
BY : V K PANDEY
KEYWORDS :Geeks Networks, mathsmania, NCERT solved answers, trigonometric functions, trigonometry,&nbs...
Sunday, 17 March 2013
In any Triangle ABC, Prove that acos(B-C)/2 = (b+c)SinA/2.
This Question is based on Properties of Triangle
In any Triangle ABC, Prove that acos(B-C)/2 = (b+c)SinA/2.
...
Saturday, 9 March 2013
Very Very Important Question based on Properties of Triangle.
Very Very Important Question based on Properties of Triangle.
This Question has been asked in IIT 1970;JEE(WB) 91;Jh 2002...
Keywords : CBSE, Geeks Networks, NCERT solved answers, solved answers of mathematics of 11th class, trigonometry, trigonometric functions,...
Tuesday, 26 February 2013
Saturday, 16 February 2013
By using the principle of mathematical induction prove that 1.2.3+ 2.3.4+ 3.4.5 .... +n(n+ 1)(n+ 2) = n(n +1)(n+ 2)(n+ 3) /4
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Monday, 21 January 2013
MEASUREMENT OF ANGLES
800x600
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0
false
false
false
EN-US
X-NONE
X-NONE
MicrosoftInternetExplorer4
...
