please send me all math formulas of class 10
if you gave correct answer so, i will mark brienliest
and
you gave wrong answer so, i will deleted your answer
Answers
Linear equations in two variables
If pair of linear equation is : a1 + b1y +c1 =0 and a2x + b2 y + c2=0
Then nature of roots/zeroes/solutions :
i. If a1/a2 is not equal to b1/b2 then, system has unique solution, is consistent OR graph is two intersecting lines
ii. If a1/a2 = b1/b2 is not equal to c1/c2 , then system has no solution, is inconsistent OR graph is parallel lines.
iii. If a1/a2=b1/b2=c1/c2, then system has infinite solution, is consistent OR graph are coincident lines.
Important formula of Quadratic Equations
Note: To find the value of ‘x’ you may adopt either ‘splitting the middle term’ or ‘formula method’.
X=( -b +-(D)^.5)/2a (where D= b*b – 4ac) Hence x= (-b+- (b*b- 4ac)^.5)/2a
Sum of the roots = -b/a & Product of roots= c/a
If roots of an equation are given, then :
Quadratic equation : x*x – (Sum of roots).x + (product of the roots) =0
If Discriminant > 0, then the roots are Real & unequal or unique, lines are intersecting.
Discriminant = 0, then the roots are real & equal , lines are coincident.
Discriminant< 0 , then the roots are imaginary (not real), parallel lines.
Important formula of Maths:
When rate of discount is given Discount = MP∗Rate of Discount 100
Simple Interest = PTR100PTR100 where P = Principal, T = Time in years R = Rate of interest per annum
Principal = 100∗S.IR∗T100∗S.IR∗T
Rate = 100∗S.IP∗T100∗S.IP∗T
Time = 100∗S.IP∗R100∗S.IP∗R
Principal = Amount – Simple Interest
Discount = MP – SP
Important formula of Similarity
If two triangles are similar then, ratio of their sides are equal.
i.e if triangle ABC~ triangle PQR then AB/PQ = BC/QR = AC/PR
If triangle ABC ~ triangle PQR then (Area of triangle ABC)/ Area of triangle PQR) = (side*side) /(side*side) = ( AB*AB) /( PQ*PQ) =( BC*BC)/( QR*QR) = (AC*AC)/ (PR*PR)
Important formula of Trigonometry:Linear equations in two variables
If pair of linear equation is : a1 + b1y +c1 =0 and a2x + b2 y + c2=0
Then nature of roots/zeroes/solutions :
i. If a1/a2 is not equal to b1/b2 then, system has unique solution, is consistent OR graph is two intersecting lines
ii. If a1/a2 = b1/b2 is not equal to c1/c2 , then system has no solution, is inconsistent OR graph is parallel lines.
iii. If a1/a2=b1/b2=c1/c2, then system has infinite solution, is consistent OR graph are coincident lines.
Important formula of Quadratic Equations
Note: To find the value of ‘x’ you may adopt either ‘splitting the middle term’ or ‘formula method’.
X=( -b +-(D)^.5)/2a (where D= b*b – 4ac) Hence x= (-b+- (b*b- 4ac)^.5)/2a
Sum of the roots = -b/a & Product of roots= c/a
If roots of an equation are given, then :
Quadratic equation : x*x – (Sum of roots).x + (product of the roots) =0
If Discriminant > 0, then the roots are Real & unequal or unique, lines are intersecting.
Discriminant = 0, then the roots are real & equal , lines are coincident.
Discriminant< 0 , then the roots are imaginary (not real), parallel lines.
Important formula of Maths:
When rate of discount is given Discount = MP∗Rate of Discount 100
Simple Interest = PTR100PTR100 where P = Principal, T = Time in years R = Rate of interest per annum
Principal = 100∗S.IR∗T100∗S.IR∗T
Rate = 100∗S.IP∗T100∗S.IP∗T
Time = 100∗S.IP∗R100∗S.IP∗R
Principal = Amount – Simple Interest
Discount = MP – SP
Important formula of Similarity
If two triangles are similar then, ratio of their sides are equal.
i.e if triangle ABC~ triangle PQR then AB/PQ = BC/QR = AC/PR
If triangle ABC ~ triangle PQR then (Area of triangle ABC)/ Area of triangle PQR) = (side*side) /(side*side) = ( AB*AB) /( PQ*PQ) =( BC*BC)/( QR*QR) = (AC*AC)/ (PR*PR)