formula sheet class 10 All maths formula
Answers
Answer:
for finding zeroes
(-b+-√b^2 - 4ac)/2a
For A.p i.e. arithmetic progression ,
An= a+(n-1)d
For the sum of n terms
Sn= n/2(2a + (n-1)d). or n/2 (a+l)
Criterias for similarity are SSS , AAA, AA, SAS
Distance formula = √(x1-x2)^2 + (y1-y2)^2
Section formula = (m1)(X2)+(m2)(x1)/
m1+m2 ,
m1(y2)+(m2)(y2)/
m1+m2
Area formula = 1/2(x1(y2-y3) + X2(y3-y1) + x3(y1-y2)
sin¢= opposite/hypotenuse
cos¢= adjacent/hypotenuse
tan¢= opposite/adjacent
cosec¢= hypotenuse/opposite
sec¢= hypotenuse/adjacent
cot¢= adjacent / opposite
sin¢=cos(90°-¢)
cos¢=sin(90°-¢)
tan¢= cot(90°-¢)
cot¢= tan(90°-¢)
sec¢=cosec(90°-¢)
cosec¢=sec(90°-¢)
sin^2¢ + cos^2¢ = 1
1+ tan^2¢ = sec^2¢
1+cot^2¢ = cosec ^2¢
L.s.a of cube = 4l^2
TSA of cube = 6l^2
Volume of cube = l^3
LSA of cuboid = 2h(l+b)
TSA of cuboid = 2(lb+bh+lh)
Volume of cuboid = lbh
SA of sphere = 4πr^2
Volume of sphere = 4/3 πr^3
CSA of hemisphere = 2πr^2
TSA of hemisphere = 3πr^2
Volume of sphere = 2/3 πr^3
CSA of cylinder = 2πrh
TSA of cylinder = 2πr(h+r)
volume of cylinder = πr^2h
CSA of cone = πrl
TSA of cone = πr(l+r)
Volume of cone = 1/3πr^2h
P(E) + P(not E) = 1