Trigonometry 2 || Trigo identities || Chapter 8 || Class X
Question :
If secθ+tanθ=p, then find the value of cosecθ
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Ex. 3.7 (Optional) Q. 7(iv)
Solve the following pair of linear equations:
(a-b)x+(a+b)y=a^2-2ab-b^2; (a+b)(x+y)=a^2+b^2
Link : • Solve linear equations (a-b)x+(a+b)y=a^2-2...
Ex. 3.7 (Optional) Q. 7(v)
Solve the following pair of linear equations:
152x-378y=-74; -378x+152y=-604
Link: • Solve the following pair of linear equatio...
Ex. 3.7 (Optional) Q. 8
ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.
Link: • CYCLIC QUADRILATERAL || Pair of linear equ...
Videos from chapter 1 (Real Numbers)
Square of any positive integer is either of the form 3m or 3m+1, where m is any positive integer.
Link: • Square of any positive integer is either o...
Find HCF of 81 and 237, and express it as Linear combination of 81 and 237
Link: • Find HCF of 81 and 237, and express it as ...
If x and y are odd positive integers, then x^2+y^2 is even but not divisible by 4
Link: • If x and y are odd positive integers, then...
Show that one and only one out of n, n+2 or n+4 divisible by 3
Link: • Show that one and only one out of n, n+2 o...
Prove that n^3 - n is divisible by 6
Link: • Prove that n^3 - n is divisible by 6 || Eu...
Define Euclid Division Lemma || To find HCF of 135 and 225.
Link: • Define Euclid Division Lemma || To find HC...
Prove that : Cube of any positive integer is either of the form 9m, 9m+1 or 9m+8
Link: • Prove that : Cube of any positive integer ...
√2+√3 is irrational no.|| addition operation on two irrational number
Link: • √2+√3 is irrational no.|| addition operati...
Divison operation of rational number and irrational number
Link: • Divison operation of rational number and i...
subtraction operation with rational and irrational number.
Link: • subtraction operation with rational and ir...
Prove that square root 2 is Irrational number || Theorem 1.4
Link: • Prove that square root 2 is Irrational num...
Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.
Link: • Show that any positive odd integer is of t...
Videos From Chapter 4
A plane left 30 min later than the Scheduled time and in order to reach the destination 1500 km Away in time it has to increase its Speed by 250 km/hr. from its usual Speed. Find its usual Speed.
Link: • A plane left 30 min later than the Schedul...
Derivation of Quadratic Formula
Link: • Derivation of Quadratic Formula | Completi...
Completing the square method | x^2-5x+6=0 | Example
Link: • Completing the square method | x^2-5x+6=0 ...
Completing the square method | 2x^2 + 7x - 4=0 | 2x^2+7x-4=0
Link: • Completing the square method | 2x^2 + 7x -...
Completing the square method | 7x^2+5x-8=0 | 7x^2 + 5x - 8 = 0
Link: • Completing the square method | 7x^2+5x-8=0...
Two taps running together can fill a tank in 3 whole and 1/13 hours. If one tap takes 3 hours more than the other to fill the tank, then how much time will each tap takes to fill the tank.
Link: • Two water taps running ... || Chapter 4 ||...
A train covers a distance of 300 km at a uniform speed. If the speed of train is increased by 5 km/hrs., it would take 2 hours to cover the same journey. Find the original speed of the train.
Link: • A train covers a distance ... || Chapter 4...
A man is 3.5 times as old as his son. If the sum of squares of their ages is 1325. Find ages of father and son.
Link: • A man is 3.5 times as old as his son ||Age...
If ad≠bc, then prove that (a^2+b^2 ) x^2+2(ac+bd)x+(c^2+d^2 )=0, has no real roots.
Link: • If ad≠bc || No real roots || Chapter 4 || ...
Find value of k, for which the equation x^2+k(2x+k-1)+2=0 has real and equal roots.
Link: • Real and equal roots 1 || Find value of K ...
If the equation (1+m^2 ) x^2+2mcx+(c^2-a^2 )=0, has real and equal roots, Prove that c^2=a^2 (1+m^2 )
Link: • Real and equal roots 2 || Discriminant || ...
If the equation (a^2+b^2 ) x^2-2(ac+bd)x+(c^2+d^2 )=0, has real and equal roots, Prove that a/b=c/d
Link: • Real and equal roots 3 || Discriminant || ...
If the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0, has real and equal roots, Prove that a=b=c
Link: • Real and equal roots 4 || Discriminant || ...
The quadratic equation (c^2-ab) x^2-2(a^2-bc)x+b^2-ac=0, in x, has equal roots, then show that either a=0 or a^3+b^3+c^3=3abc
Link: • Real and equal roots 5 || Discriminant || ...
If roots of equation (b-c) x^2+(c-a)x+(a-b)=0 are real and equal, then prove that 2b=a+c, i.e. a, b, c are in A.P.
Link: • Real and equal roots 6 || Discriminant || ...
The roots of equation x^2+2cx+ab=0 are real and unequal, then prove that the equation x^2-2(a+b)x+a^2+b^2+〖2c〗^2=0 has no real roots.
Link: • Real and equal roots 7 || Discriminant || ...
Videos from chapter 2
Find all the zeros of polynomial 2x^4-9x^3+5x^2+3x-1, if two of its zeros are 2+√3 and 2-√3
Link: • zeros of polynomial || two zeros are given...
Videos from chapter 8
If sinA-cosA=1/2, then find the value of 1/(sinA+cosA ).
Link: • Trigonometry 1 || Trigo identities || Chap...