Home
Class 12
MATHS
Let cos(2sin^(-1)x)=1/9xgt0 holds true f...

Let `cos(2sin^(-1)x)=1/9xgt0` holds true for `x=m/n`, where m and n are co-prime further `alpha` and `beta` are root of quadratic eqation `mx^2-nx-m+n=0,(alpha,beta)` then point `(alpha, beta)` lies on the line

A

`3x + 2y = 2`

B

`5x – 8y = –9`

C

`3x – 2y = –2`

D

`5x + 8y = 9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the quadratic equation x^(2)-3x-2=0, then (alpha)/(beta)+(beta)/(alpha)=

If alpha and beta are the roots of the quadratic equation 3m^2+2m-4=0 , then alpha^(2)+beta^(2)=

If alpha and beta are the roots of the equation x^(2)-ax+b=0 and A_(n)=alpha^(n)+beta^(n)

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is

alpha and beta are the roots of x^2-x-1=0 and S_n=2023 alpha^n 2024 beta^n then

If alpha and beta are roots of the equation x^2 – x-1 = 0 , then the equation where roots are alpha/beta and beta/alpha is:

If alpha and beta are the roots of the equation X^(2)+mX+9=0 such that alpha+2 beta=2(alpha beta^(2)) , then |(4m)/(51)| is

If alpha,beta are the roots of an equation x^(2)-2x cos theta+1=0 then the equation having alpha^(n) and beta^(n) is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. If a1, a2............ are in G.P, such that a1=1/8, a1nea2 and every t...

    Text Solution

    |

  2. Let A be the point of intersection of the lines 3x + 2y = 14, 5x – y =...

    Text Solution

    |

  3. Let cos(2sin^(-1)x)=1/9xgt0 holds true for x=m/n, where m and n are co...

    Text Solution

    |

  4. The function f(x) =frac{x}{x^2-6x-16}, x in-{-2, 8}

    Text Solution

    |

  5. Let y =loge(frac{1-x^2}{1+x^2}), -1 < x < 1. Then at x = 1/2 the value...

    Text Solution

    |

  6. If R is the smallest equivalence relation on the set {1, 2, 3, 4} such...

    Text Solution

    |

  7. An integer is chosen at random from the integers 1, 2, 3, …, 50. The p...

    Text Solution

    |

  8. Let a unit vector hat u = x hat i + y hat j + z hat k make angles (pi)...

    Text Solution

    |

  9. Let alpha, beta be the roots of the equationx^2 - sqrt 6 x + 3 = 0 suc...

    Text Solution

    |

  10. Let for any three distinct consecutive terms a, b, c of an A.P, the li...

    Text Solution

    |

  11. Let P(alpha, beta) be a point on the parabola y^2= 4x. If P also lies ...

    Text Solution

    |

  12. If int(pi/6)^(pi/3) sqrt (1- sin 2x) dx = alpha + beta sqrt 2 + gamma ...

    Text Solution

    |

  13. Let the area of the region {(x, y): 0 le x le 3, 0 le y le min{x^2+ 2,...

    Text Solution

    |

  14. Let O be the origin, and M and N be the points on the lines frac{x-5}{...

    Text Solution

    |

  15. Let f(x) =sqrt ((lim(r-> x) {2r^2[f(r))^2 - f(x) f(r)]/(r^2-x^2)-r^3e^...

    Text Solution

    |

  16. Remainder when 64^(32^(32)is divided by 9 is equal to .

    Text Solution

    |

  17. Let the set C = {(x, y) | x^2- 2^y = 2023, x, y in }. Then sum((x,y) i...

    Text Solution

    |

  18. Let the slope of the line 45x + 5y + 3 = 0 be 27 r1 + (9r2)/ 2 for som...

    Text Solution

    |

  19. Let "P" be a point on the hyperbola H:(x^(2))/(9)-(y^(2))/(4)=1 ,in th...

    Text Solution

    |

  20. Let f(x)=(x+3)^(2)(x-2)^(3),x in[-4,4] .If "M" and "m" are the maximum...

    Text Solution

    |