Related InterviewSolutions

• Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4, respectively, from the origin on the positive x-axis, then which of the following points does not lie on it ?A. (4, -4)B. `(5, 2sqrt(6))`C. (8, 6)D. `(6, 4 sqrt(2))`
• If two vertices of a triangle are `(0,2)` and `(4,3)` and its orthocentre is `(0,0)` then the third vertex of the triangle lies in (a) `I^(st)` quadrant (b) `2^(nd)quadrant (c) `3^(rd)quadrant (d) `4^(th)quadrantA. FourthB. SecondC. ThirdD. First
• If `Sigma_(i=1)^(20) ((""^(20)C_(i-1))/(""^(20)C_(i)+""^(20)C_(i-1)))^(3)=(k)/(21)`, then k equalsA. 200B. 50C. 100D. 400
• If `dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "y(-pi/4)` equalsA. `1/3+e^6`B. `1/3`C. `-1/4`D. `1/3+e^3`
• The integral `int_(pi//6)^(pi//4)(dx)/(sin2x(tan^(5)x+cot^(5)x))` equalsA. `1/10(pi/4-tan^(-1)(1/(9sqrt3)))`B. `1/5(pi/4-tan^(-1)(1/(3sqrt3)))`C. `pi/10`D. `1/20-tan^(-1)(1/(9sqrt3))`
• If the system fo equations x+y+z = 5 x + 2y + 3z = 9 `x + 3y + alphaz = beta` has infinitely many solution, then `beta - alpha` equalsA. 5B. 18C. 21D. 8
• If two vertices of a triangle are `(0,2)` and `(4,3)` and its orthocentre is `(0,0)` then the third vertex of the triangle lies in (a) `I^(st)` quadrant (b) `2^(nd)quadrant (c) `3^(rd)quadrant (d) `4^(th)quadrantA. FourthB. SecondC. Third D. First
• Two sides of a parallelogram are along the lines x+y=3 and x=y+3. If its diagonals intersect at (2, 4) , then one of its vertices isA. (2, 6)B. (2,1)C. (3, 5)D. (3, 6)
• If the straight line 2x-3y+17-0 is perpendicular to the line passing through the points (7, 17) and `(15, beta)`, then `beta` equalsA. `-5`B. `-(35)/(3)`C. `(35)/(3)`D. 5
• Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true ?A. The lines are all parallel.B. Each line passes through the origin.C. The lines are not concurrent.D. The lines are concurrent at the point `((3)/(4),(1)/(2))`.