best books to learn geometry maths?
Hello Vikas,
Hope you are doing well.
Here are good books for learning geometry:
1. Euclidean Geometey by UKTN
2. Geometry revisites by Coxeter and Grietzer
3. Geometry Unbound by Kiran Kedlaya
Hope this will help you.
Good luck
Why the geometry of carbocation is planner??
Hello!!
The orbitals of carbocations are generally sp2 hybridized so that the three full orbitals are arranged in a trigonal planar geometry about the carbon nucleus. The remaining p orbital is empty and will readily accept a pair of electrons from another atom.
Thanks
Is S k goyal good for coordinate geometry for JEE MAIN?
which is best book for vector and 3D geometry for JEE MAIN?
First of all solved NCERT textbook and then after you can go for cengage publication.Arihant publication is also good.First cover all the concepts and then go for numerical problem. Hope this will help you good luck
from which part in cordinate geometry percent of question is more in jee mains
Here's a weightage distribution of Coordinate Geometry in JEE mains :
Straight Lines - 5
Circles - 5
Conic Section - 6.67
3D Geometry - 6.67
Vectors - 3.33
I hope this helps.
if I solve cordinate geometry from NCERT can I able to solve JEE mains questions
hi,
see ncert books will clear your basic concepts, remember jee main basically a mcq based entrance test and you need to solve the question by using short tricks. it will be better to solve mcq from arihant or tata mac graw hill books.
hope you may understand.
Trace the conic? 8x^2+4xy+5y^2=24(x+y)
8x^2+4xy+5y^2-24x-24y=0
a=8,b=5,c=0,h=2,f=g=-12
D=abc+2fgh-af^2-bg^2-ch^2
=8*5*0+2*(-12)(-12)*2-8*(-12)^2-5*(-12)^2-0*2^2
=-1296
Now
If D=0
If h^2-ab > 0,the equation represents two distinct real lines.
If h^2-ab = 0,the equation represents parallel lines.
If h^2-ab < 0,the equation represents non-real lines.
If D is non zero
If h^2-ab>0,it represents a hyperbola and a rectangular hyperbola(a+b=0).
If h^2-ab=0,the equation represents a parabola.
If h^2-ab<0,the equation represents a circle(a=b, h= 0) or an ellipse(a not equal to b).(For a real ellipse,
D/(a+b)<0).
Here D is non zero and h^2-ab=2-58=-36.
And also a not equal to b.Hence it is an ellipse.
Also D/(a+b)<0.
It is a real ellipse.