Home
Class 12
MATHS
A(1, 2) and B(7, 10) are two points. If ...

A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the angle APB is `60^@` and the area of the triangle APB is maximum, then which of the following is (aré) true?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A and B are two fixed points. Draw the locus of a point P such that angle APB = 90^(@) .

A and B are two fixed points. The locus of a point P such that angleAPB is a right angle, is:

In the right triangle BAC, angle A=pi/2 and a+b=8 . The area of the triangle is maximum when angle C , is

A (-1,0) and B (2,0) are two given points. A point M is moving in such a way that the angle B in the triangle AMB remains twice as large as the angle A. Show that the locus of the point M is a hyperbola. Fnd the eccentricity of the hyperbola.

A(1,1) , B (-2,3) are two points . If a point P forms a triangle of are 2 square units with A, B then find the locus of P.

Given that P(3,1),Q(6. 5), and R(x , y) are three points such that the angle P R Q is a right angle and the area of R Q P is 7, find the number of such points Rdot

Given two points A and B. If area of triangle ABC is constant then locus of point C in space is

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

A(5,3) B (3,-2) are two points . If a point P forms a triangle of area 9 square units with A,B then find the locus of P.

If A(-1,1)a n d\ B(2,3) are two fixed points, find the locus of a point P so that the area of Delta P A B=8s qdot units.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the coefficient of x^(50) after simplifying and collecting the li...

    Text Solution

    |

  2. A function is reprersented parametrically by the equations x=(1+t)/(t^...

    Text Solution

    |

  3. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

    Text Solution

    |

  4. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  5. The centres of two circles C(1)andC(2) each of unit radius are at a di...

    Text Solution

    |

  6. Consider circles C(1): x^(2) +y^(2) +2x - 2y +p = 0 C(2): x^(2) +y...

    Text Solution

    |

  7. If alpha and beta are the eccentric angles of the extremities of a f...

    Text Solution

    |

  8. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  9. Find the equations of the sides of the triangle having (3,-1) as a vtr...

    Text Solution

    |

  10. int^(x costheta+1)/((x^2+2x costheta+1)^(3//2)) is sqrt(x costheta+1)+...

    Text Solution

    |

  11. If [.] denotes the greatest integer less than or equal to x and (.) de...

    Text Solution

    |

  12. Two tangents are drawn from any point P on a given line L=0 to a given...

    Text Solution

    |

  13. If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct root...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2)))/...

    Text Solution

    |

  16. If tan^(-1) (x^(2) + 3|x| -4) + cot^(-1) (4pi + sin^(-1) sin 14) = (pi...

    Text Solution

    |

  17. Consider the system of hyperbola xy = k, k in R. Let e1 be the eccentr...

    Text Solution

    |

  18. Given that lim(x to 0)(int(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1,...

    Text Solution

    |

  19. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  20. Let f(x)=(sqrt2^x -2)/(sqrt2^x +2) then if the graphs of y=f(x) and y=...

    Text Solution

    |