Home
Class 12
MATHS
If sin alpha, cos alpha are the roots of...

If `sin alpha, cos alpha` are the roots of the equation `ax^2 + bx + c = 0 (c ne 0)`, then prove that `(a+c)^2 = b^2 + c^2`.

Answer

Step by step text solution for If sin alpha, cos alpha are the roots of the equation ax^2 + bx + c = 0 (c ne 0), then prove that (a+c)^2 = b^2 + c^2. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 3 MARKS|5 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS( MATCH THE FOLLOWING : )|5 Videos

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 5 MARKS|4 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 5 marks )|5 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (alpha+beta)^(2) is …………..

Let a, b, c be real numbers with a = 0 and let alpha,beta be the roots of the equation ax^2 + bx + C = 0 . Express the roots of a^3x^2 + abcx + c^3 = 0 in terms of alpha,beta

Knowledge Check

  • If alpha and beta are thr roots of the equation ax^(2) + bx + c = 0 then ( alpha + beta )^(2) is ……… .

    A
    `(-b^(2))/(a^(2))`
    B
    `(c^(2))/(a^(2))`
    C
    `(b^(2))/(a^(2))`
    D
    `(bc)/(a)`

  • If -i + 2 is one root of the equation ax^2 - bx + c = 0 , then the other root is …………

    A
    `-i - 2`
    B
    `i - 2`
    C
    `2 + i`
    D
    `2i + i`

  • If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne 0) , then the equation whose roots are (1)/(a alpha +b)" and "(1)/(a beta +b) is

    A
    `acx^(2)-bx+1=0`
    B
    `x^(2)-acx+bc+1=0`
    C
    `acx^(2)+bx-1=0`
    D
    `x^(2)+acx-bc+11=0`

    • Similar Questions

    Explore conceptually related problems

    If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

    Let a, b, c in R and alpha, beta are the real roots of the equation ax​2 + bx + c = 0 and if a + b + c > 0, a – b + c >0 and c < 0 then [alpha] + [beta] is equal to (where [.] denotes the greatest integer function.)

    If alphaa n dbeta(alpha

    The equation 4ax^2 + 3bx + 2c = 0 where a, b, c are real and a+b+c = 0 has

    If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " then "b^(2)-c =

    Home
    Profile