Related InterviewSolutions

• Name the valve between left atrium and left ventricle and give its significance .
• Show that a homogeneous equations of degree two in x and y , i.e., `ax^(2) + 2 hxy + by^(2) = 0` represents a pair of lines passing through the origin if `h^(2) - 2ab ge 0`.
• Find the principal value of `sec^(-1)(2/sqrt3)`A. `pi/3, (11 pi)/6`B. `pi/6, (11 pi)/6`C. `pi/6, (11pi)/4`D. `pi/6, (11pi)/4`
• Find the vector equation of the plane passing through the point `A(1, 0, 1), B(1,-1,1) and C (4,-3,2)`
• The measure of acute angle between the lines whose direction ratios are `3, 2, 6 and `-2, -1, 2` isA. `cos^(-1)(1/7)`B. `cos^(-1)(8/15)`C. `cos^(-1)(1/3)`D. `cos^(-1)(8/21)`
• Find the vector equation of the line which passes through the point with position vector `4hati - hatj + 2 hat k` and is in the direction of ` - 2hati + hatj + hat k`.
• Write the negations of the following statements : (a) All students of this college live in the hostel . (b) 6 is an even number or 36 is a perfect square.
• Find the distance of the point `(1, 2-1)` from the plane `x -2y + 4z - 10 = 0`.
• If a line makes angles `alpha, beta, gamma` with the coordinate axes, prove that `cos2alpha + cos 2beta + cos2gamma + 1 = 0`.
• What is primary treatment of sewage?