-
If cotθ=-4/3, then cosθ is ...
-
The value of k for which the line (x-k)/2=(y-3)/3=(z-4)/1 lies on the plane 2x-y+z=7 is ...
-
Two identical dice are rolled, find the probability that the product of the numbers is less than 15 ...
-
A five digit number divisible by 6 is to be formed using the numbers 0,1,2,3,4,5 without repetition. The total number of ways this can be done is ...
-
a and b are two unit vectors such that a+2b and 5a-4b are perpendicular to each other, then the angle between a and b is ...
-
a, b and c are unit coplanar vectors, then the scalar triple product [3a-2b 3b-2c 3c-2a]= ...
-
For all complex numbers z1, z2 satisfying |z1|=15 and |z2-3-4i|=5, the minimum value of |z1-z2| is ...
-
Let the positive numbers a,b,c,d be in H.P., Then abc, abd,acd and bcd are in ...
-
tan[sin-1(3/5)+tan-1(2/3)]= ...
-
A man from the top of a 100 metres high tower sees a car moving towards the tower at an angle of depression of 30°. After sometime, the angle of depression becomes 60°. The distance traveled by car the car during this time ...
-
The sides of a triangle are in the ratio 1:√3:2, then the angles of the triangle are in the ratio ...
-
The no. of solution of the 3sinx=4-(√6)cosx in the interval [0,2π] is ...
-
Orthocentre of triangle formed by the lines whose combined equation is (y2-5xy-x2)(3x-2y+8)=0 is ...
-
The area bounded by the curves 6|x|+7|y|=21 is ...
-
\int_{0}^{\pi /2}{[sin^{3}xcosx]dx} where [.] is the greatest integer function ...
-
\begin{vmatrix} a+b-2 &a+b &a+b+2 \\ b-1 &b &b+1 \\ c-1 &c &c+1 \end{vmatrix} for values of (a,b,c)=(12,17,8) find the value of determinant ...
-
The remainder when 1!+2!+3!+....+100! is divided by 18 ...
-
The maximum value of cos(ex) where x>0 is ...
-
The domain of the function y=1/ln(1-x)+ x+1 ...
-
Complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-√3)/2 are the vertices of a triangle which is ...
-
If a2+b2+c2=1, then ab+bc+ca lies in the interval ...
-
if the quadratic equations x2+ax+b=0 and x2+bx+a=0 have a common root, then the numerical value of a+b is ...
-
When KI and CuSO4 solutions are mixed, it gives ...
-
Which of the following about H2S is false? ...
-
Which of the following is correct order of first ionization potential? ...
-
The geometry of Ni(CO)4 and Ni(PPh3)2Cl2 are ...
-
Which of the following statements is incorrect about H2O2? ...
-
Which one of the following would give methylamine when treated with acetamide? ...
-
Product is CH3CH2COOH Red P+Br2 > ...
-
ethyne dil. H2SO4/ HgSO4 >A NaOH >B B is ...