View in English View in Hindi |

The distance between the points (4,-8) and (k,0) is 10. Find k? |

A) k = 6 or - 2 B) k = 10 or - 2 C) k = 10 or - 4 D) k = 6 or - 4 Correct Answer :k = 10 or - 2 Explanation :the distance between the points, c (K - 4) |

What is the equation of the line which passes through the points (2, 3) and (- 4, 1)? |

A) x - 3y = - 7 B) x + 3y = 7 C) x - 3y = 7 D) x + 3y = - 7 Correct Answer :x - 3y = - 7 Explanation :Let (2, 3) is (x1, y1) and (-4, 1) is (x2, y2) The equation of a line passing through two points (x1, y1) and (x2, y2) is given by there, m = (y2 - y1)/(x2 - x1) = (1-3)/(-4-2) = -2/-6 = 1/3 Then the equation is: |

Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4, 3). Alok made a mistake in writing down the coefficient of x to get roots (3, 2). The correct roots of the equation are? |

A) -4, -3 B) 6, 1 C) 4, 3 D) -6, -1 Correct Answer :6, 1 Explanation :Let quadratic equation be Since Aman made a mistake in writing down the constant term. |

The system of equations 2x + 4y = 6 and 4x + 8y = 8 is ? |

A) consistent with a unique solution B) consistent with infinitely many solutions C) inconsistent D) None of the above Correct Answer :inconsistent Explanation :We have, 2x + 4y = 6 and 4x + 8y = 8 a1 = 2, b1 = 4, c1 = -6 When there is no solution, the equations are called inconsistent. This happens, when the lines are parallel. Here, a1/a2 = b1/b2 = 1/2 ≠ c1/c2 Hence, system of equation is inconsistent. |