Home
Class 12
MATHS
The line x = c cuts the triangle with co...

The line x = c cuts the triangle with corners (0,0) , (1,1) and (9,1) into two regions .For the area of the two regions to the same , then c must be equal to

A

30

B

6

C

`(7)/(2)`

D

15

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 71

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 73

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into two region.two regions to be the same c must be equal to (A) (5)/(2)(B)3(C)(7)/(2) (D) 5 or 15

The area of the triangle formed by A (1, 0, 0), B(0, 1, 0), C(1, 1, 1) is

Let T be the triangle with vertices (0,0),(0,c^(2)) and (c,c^(2)) and let R be the region between y=cx and y=x^(2) where c>0 then

Consider a triangle ABC in the xy -plane with vertices A = (0,0), B = (1,1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals

The line y=x+1 divided the area the curves y=cosx, [-(pi)/(2), (pi)/(2)] and the x-axis into two regions which are in the ratio

Two vertices of triangle are (-2,-1) and (3,2) and third vertex lies on the line x+y=5. If the area of the triangle is 4 square units, then the third vertex is a. (-0,50 or (4,1) b. (5,0) of (1,4) c. (5,0) or (4,1) d. (o,5) or (1,4)

Find the area of the region bounded by the curve xy=1 and the lines y=x,y=0,x=e

The area of the region bounded by y^(2)=2x+1 and x-y-1=0 is

Statement 1: The area of the triangle formed by the points A(1000,1002),B(1001,1004),C(1002,1003) is the same as the area formed by the point A'(0,0),B'(1,2),C'(2,1) statement 2: The area of the triangle is constant with respect to the translation of axes.

NTA MOCK TESTS-NTA JEE MOCK TEST 72-MATHEMATICS
  1. The line x = c cuts the triangle with corners (0,0) , (1,1) and (9,1) ...

    Text Solution

    |

  2. The distance of the y - axis from from the center of the circle which ...

    Text Solution

    |

  3. A tangent is drawn to the parabola y^(2)=8x at P(2, 4) to intersect th...

    Text Solution

    |

  4. The tangents at the extremities of the latus rectum of the ellipse 3x^...

    Text Solution

    |

  5. Consider the function f(x)=min{|x^(2)-4|,|x^(2)-1|}, then the number o...

    Text Solution

    |

  6. If f:A rarr B defined as f(x)=2sinx-2 cos x+3sqrt2 is an invertible fu...

    Text Solution

    |

  7. The average weight of students in a class of 32 students is 40 kg. If ...

    Text Solution

    |

  8. An observer finds that the angular elevation of a tower is theta. On a...

    Text Solution

    |

  9. Let veca=2hati-hatj+3hatk, vecb=hati+hatj-4hatk and non - zero vector ...

    Text Solution

    |

  10. Let a, b and c are the roots of the equation x^(3)-7x^(2)+9x-13=0 and ...

    Text Solution

    |

  11. A plane P(1) has the equation 4x-2y+2z=3 and P(2) has the equation -x+...

    Text Solution

    |

  12. Let A=[(0, i),(i, 0)], where i^(2)=-1. Let I denotes the identity matr...

    Text Solution

    |

  13. The inequality .^(n+1)C(6)-.^(n)C(4) gt .^(n)C(5) holds true for all n...

    Text Solution

    |

  14. Find the values of m for which roots of equation x^(2)-mx+1=0 are less...

    Text Solution

    |

  15. The number of solution of the equation sin^(3)x cos x+sin^(2)x cos^(2)...

    Text Solution

    |

  16. The solution of the differential equation (dy)/(dx)+(xy)/(1-x^(2))=xsq...

    Text Solution

    |

  17. The limit L=lim(nrarroo)Sigma(r=1)^(n)(n)/(n^(2)+r^(2)) satisfies

    Text Solution

    |

  18. If the integral I=int(x^(5))/(sqrt(1+x^(3)))dx =Ksqrt(x^(3)+1)(x^(3)-2...

    Text Solution

    |

  19. The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a, ...

    Text Solution

    |

  20. If A={x:x=3^(n)-2n-1, n in N} and B={x:x = 4(n-1), n in N}. Then

    Text Solution

    |