Thursday 29 November 2012

A man covers a certain distance by car driving at 100km/h and he returns back to the starting point riding on a scooter at 45 km/h. Find his average speed for the whole journey.

A man covers a certain distance by car driving at 100km/h and he returns back to the starting point riding on a scooter at 45km/h. Find his average speed for the whole journey.

Sol

Average Speed = 2x100x45/100+45 km/h
                         
                          = 62.06 km/h

Tuesday 27 November 2012

Solved Question of Ex.10.2 of Class 11th............Q.No..20

Solved Question of Ex.10.2 of Class 11th............

Q.No..20......................






keywords : CBSE, coordinate geometry, Geeks Networks, NCERT solved answers, slope of line, solved answers of mathematics of 11th class, Straight Lines, 




Sunday 25 November 2012

Q.No. 18 of Ex. 10.2 of Class 11th

Q.No. 18 of Ex. 10.2 of Class 11th.............


Sol : 
 Keywords : CBSE, coordinate geometry, Geeks Networks, mathsmania, NCERT solved answers, slope of line, solved answers of mathematics of 11th class, Straight Lines,

The two adjacent sides of a parallelogram are 5 cm and 4 cm respectively, and if the respective diagonal is 7 cm then find the area of the parallelogram?

The two adjacent sides of a parallelogram are 5 cm and 4 cm respectively, and if the respective diagonal is 7 cm then find the area of the parallelogram?

Sol :

We know that

        Required Area = 2 Sqrt{s(s-a)(s-b)(s-D)
                                                           Where S = a+b+D/2
                                                                            = 5+4+7/2 = 8

Now  Area = 2 sqrt{8(8-5)(8-4)(8-7)}
                      = 2 sqrt{8x3x4x1}
                      = 8 sqrt (6)


Sqrt = Square root




Keywords : CBSE, Geeks Networks, NCERT solved answers, solved answers of mathematics of 11th class, 

 

Thursday 15 November 2012

The perpendicular from the origin to a line meet at the point (-2,9), find the equation of the line.

The perpendicular from the origin to a line meet at the point (-2,9), find the equation of the line.
Sol: 
 

Keywords : Area of Triangle, CBSE, coordinate geometry, Geeks Networks, NCERT solved answers, slope of line, solved answers of mathematics of 12th class, Straight Lines, 

Find the equations of the lines passing through the point (2,2),such that the sum of their intercepts on the axes is 9.

Q.No.13 of Exercise 10.2 of Class 11th

Find the equations of the lines passing through the point (2,2),such that the sum of their intercepts on the axes is 9.

Sol :

keywords : CBSE, Calculus, Area of Triangle, base, Geeks Networks, integrations, NCERT solved answers, slope of line, Software, Straight Lines, solved answers of mathematics of 11th class, solved answers of mathematics of 12th class,

Wednesday 14 November 2012

Find the equation of a line that cuts off equal intercepts on the co-ordinate axes and passes through (2,3).

Q.No 12 of Exercise 10.2 of Class 11th
Find the equation of a line that cuts off equal intercepts on the co-ordinate axes and passes through (2,3).

Sol :



Keywords :   CBSE, Geeks Networks,  solved answers of mathematics of 11th class, Straight Lines, NCERT

Tuesday 13 November 2012

Solved Question of Exercise 7.2 of Class 12th........................Q.No.36............Integrate This................

Solved Question of Exercise 7.2 of Class 12th........................

Q.No.36............

Integrate This................

Sol :

Solved Question of Exercise 7.2 of Class 12th........................Q.No.35............Integrate This................

Solved Question of Exercise 7.2 of Class 12th........................

Q.No.35...........

Integrate This................


Sol :

Solved Question of Exercise 7.2 of Class 12th.............Q.No.34......................Integrate This

Solved Question of Exercise 7.2 of Class 12th.............

Q.No.34......................

Integrate This............................

Sol :
 

Solved Question of Exercise 7.2 of Class 12th.............Q.No.33......................Integrate This

Solved Question of Exercise 7.2 of Class 12th.............

Q.No.33......................

Integrate This...............

Sol :
 

Solved Question of Exercise 7.2 of Class12th............Q.No.32........Integrate this..............

Solved Question of Exercise 7.2 of Class12th............

Q.No.32........

Integrate this..............

Sol

Solved Question of Exercise 7.2 of Class 12th.............Q.No.31.......Integrate this

Solved Question of Exercise 7.2 of Class 12th.............

Q.No.31 

Integrate this.................

Sol : 
 

Monday 12 November 2012

Q.No.30 of Exercise.7.2 of Class 12th...........Integrate this.............

Q.No.30 of Exercise.7.2 of Class 12th...........
Find the Integration of Sinx/1+cosx

Sol :

Q.No. 29 of Exercise.7.2 of Class 12th..........Find the Integration of cotx.log(sinx).

Q.No. 29 of Exercise.7.2 of Class 12th
Find the Integration of cotx.log(sinx).

Sol :

Saturday 10 November 2012

Integrate this

Q.No. 28 of Ex. 7.2 of Class 12th

Integrate this

Integrate this

Q.No. 27 of Ex.7.2 of class 12th

Integrate this :-

Friday 9 November 2012

A line perpendicular to the line segment joining the points(1,0) and (2,3) divides it in ratio 1:n. Find the equation of the line.

Q.No. 11 of Ex. 10.2 of Class 11th
A line perpendicular to the line segment joining the points(1,0) and (2,3) divides it in ratio 1:n. Find the equation of the line.

Sol :


The Vertices of a triangle PQR are P(2,1), Q(-2,3) and R(4,5). Find the equation of the median through the vertex R.

Q.No. 9 of Ex. 10.2 of Class 11th.
The Vertices of a triangle PQR are P(2,1), Q(-2,3) and R(4,5). Find the equation of the median through the vertex R.

Sol :


Integrate this :

Integrate this : 
Q. No. 23  of Ex. 7.2 of Class 12th
 

Integrate this :

Integrate this : 
Q. No. 23 of Ex. 7.2 of class 12th
 


Sunday 4 November 2012

Find the Equation of the line passing through (-3,5) and perpendicular to the line through the points (2,5) and (-3,6).

Ex 10.2 of Class 11th

Q. No. 10
Find the Equation of the line passing through (-3,5) and perpendicular to the line through the points (2,5) and (-3,6).

Sol : 



Find the Equation of a line whose perpendicular distance from the origin is 5 units and the angle made by the perpendicular with positive x-axis is 30.

Ex 10.2

Q. No. 8
Find the Equation of a line whose perpendicular distance from the origin is 5 units and  the angle made by the perpendicular with positive x-axis is 30.

Sol :