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Q.15. The square of the distance of the point from the line along the line is equal to:
Q.3. Let be a complex number such that and . Then is equal to :
Q.12. is equal to :
Q.18. The area of the region bounded by the curves x + 3y= 0 and x + 4y = 1 is equal to :
Q.25. Let f be a twice differentiable function such that , . Then is equal to ________.
Q.23. Let A, B be points on the two half-lines x-, a > 0 at a distance of a from their point of intersection P. The line
Q.8. The mean deviation about the mean for the data [Figure: Data table with x and f values] is equal to :
Q.11. In an equilateral triangle PQR, let the vertex P be at (3, 5) and the side QR be along the line . If the orthocent
Q.47. Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the
Q.51. The ratio of mass percentage (w/w) of C : H in a hydrocarbon is 12 : 1. It has two carbon atoms. The weight (in g)
Q.52. The first and second ionization constants of a weak dibasic acid are and respectively. 0.1 mol of was dissolve
Q.53. is isostructural with : Choose the correct answer from the options given below:
Q.56. At , 20.0 mL of 0.2 M weak monoprotic acid HX is titrated against 0.2 M NaOH. The pH of the solution (a) at the st
Q.57. Consider the reaction , for which the rate constant at is . Which of the following statements are true? A. When c
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