Home
Class 14
MATHS
The graph of the equations 3x-20y-2=0 an...

The graph of the equations 3x-20y-2=0 and 11x-5y+61=0 intersect at P(a,b). What is the value of `(a^2+b^2-ab)(a^2-b^2+ab)` ?
3x-20y-2 = 0 और 11x-5y 61 = 0 समीकरणों के आरेख P(a,b) पर एक दूसरे को प्रतिच्छेद करते हैं। `(a^2+b^2-ab)(a^2-b^2+ab)` का मान क्या है?

A

`(37)/(35)`

B

`(31)/(41)`

C

`(5)/(7)`

D

`(41)/(31)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2018 TIER-II PAPER(6)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2019 TIER-II PAPER (2)

    CHAMPION PUBLICATION|Exercise EXERCISE|99 Videos

Similar Questions

Explore conceptually related problems

The graph of the equations 5x-2y+1=0 and 4y-3x+5=0, intersect at the point P (alpha, beta) . What is the value of (2 alpha-3 beta) ? समीकरण 5x-2y+1=0 और 4y-3x+5=0 के आरेख एक-दूसरे को बिंदु P (alpha, beta) पर काटते हैं | (2 alpha-3 beta) का मान क्या होगा ?

The graphs of the equations 3x+y-5=0 and 2x-y-5=0 intersect at the point P (alpha, beta) . What is the value of (3 alpha+ beta) ? समीकरण 3x+y-5=0 तथा 2x-y-5=0 के आरेख एक बिंदु P (alpha, beta) पर एक-दूसरे को काटते है (3 alpha+ beta) का मान क्या है ?

If 1 is a root of the equation ay^(2)+ay+3=0" and "y^(2)+y+b=0 then find the value of ab.

The graphs of the equations 2x+3y=11 and x-2y+12=0 intersects at P(x_1,y_1) and the graph of the equation x-2y+12=0 intersects the x-axis at Q(x_2,y_2) . What is the value of (x_1-x_2+ y_1+y_2) ? समीकरणों 2x+3y=11 तथा x-2y+12=0 के आरेख एक दूसरे को P(x_1,y_1) पर काटते ह तथा समीकरण x-2y+12=0 का आरेख x-अक्ष को Q(x_2,y_2) पर काटता है| (x_1-x_2+ y_1+y_2) का मान क्या है?

The value of k so that the equation 12x^(2)-10xy+2y^(2)+11x-5y+k=0 represents a pair of lines is -2 (b) 2(c)7 (d) -7

The value of k so that the equation 12x^(2)-10xy+2y^(2)+11x-5y+k=0 represents a pair of lines is a.-2 b.2 c.7d.-7

If a^(2) +b^(2) = x, ab = y then the value of (a^(4) +b^(4))/(a^(2) -ab sqrt(2) +b^(2)) is

Solve for x : 9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0

(b/a)x+(a/b)y=a^2b^2; x+y=2ab

CHAMPION PUBLICATION-2019 TIER-II PAPER (1)-EXERCISE
  1. The areas of three adjacent faces of a cuboidal tank are 3 m^2, 12m^2 ...

    Text Solution

    |

  2. The marked price of an article is 40% above its cost price. If its se...

    Text Solution

    |

  3. The graph of the equations 3x-20y-2=0 and 11x-5y+61=0 intersect at P(a...

    Text Solution

    |

  4. (1/(cos theta)-1/(sin theta))+1/(cosec theta-cot theta)-1/(sec thet...

    Text Solution

    |

  5. In triangle PQR, angle Q=90^@, If cot R=1/3, then what is the value o...

    Text Solution

    |

  6. If 3x^2-5x+1=0, then the value of (x^2+ 1/(9x^2)) is : यदि 3x^2-5x+1...

    Text Solution

    |

  7. Two positive numbers differ by 1280. When the greater number is divide...

    Text Solution

    |

  8. A solid metallic sphere of radius 15cm melted and recast into spherica...

    Text Solution

    |

  9. Study the given graph and answer the question that follows. The tot...

    Text Solution

    |

  10. The radii of two right circular cylinders are in the ratio 3:2 and the...

    Text Solution

    |

  11. A and B are solutions of acid and water. The ratios of water and acid ...

    Text Solution

    |

  12. If (45)/(53)= frac(1)(a+frac(1)(b+frac(1)(c-frac(2)(5)))) Where a,b an...

    Text Solution

    |

  13. Remi earns a profit of 20% on selling an article at a certain price. I...

    Text Solution

    |

  14. The base of a right pyramid is a square of a side 10cm. If its height ...

    Text Solution

    |

  15. The height of a cylinder is 30 cm and the diameter of its base is 10 c...

    Text Solution

    |

  16. If 1/(4-sqrt8)+(3+2 sqrt2)/(3-2 sqrt2)- (3-2 sqrt2)/(3+2 sqrt2)=a+b sq...

    Text Solution

    |

  17. The value of [4/7 of 2 4/5xx1 2/3-(3 1/2-2 1/6)]div (3 1/5 div 4 1/2 o...

    Text Solution

    |

  18. The numerator of a fraction is 3 more than the denominator. When 5 is ...

    Text Solution

    |

  19. In triangle ABC,D and E are mid points of sides Bc and AC, respectivel...

    Text Solution

    |

  20. Given that triangle DEF ~ triangle ABC, If the area of triangle ABC i...

    Text Solution

    |