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The area of the triangle with vertices A (z), B (iz) and C (z + iz) is:

a. (1 / 2) |z + iz|2 b. 1 c. 1 / 2 d. (1 / 2) |z|2 Answer: (d) Area of triangle = (1 / 2) (area of square) = (1 / 2) |z|2... View Article

In a school, there are three types of games to be played.

In a school, there are three types of games to be played. Some of the students play two types of games, but none play all three games. Which Venn... View Article

The inverse of y = 5^logx is

a. x = 5logy b. x= ylog5c. x = y1/log5 d. x = 51/logy Answer: (c) y = 5logx log5 y = loge x x = elog5y... View Article

Two dice are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is:

a. 17 / 36 b. 4 / 9 c. 5 / 12 d. 1/2 Answer: (a) n (S) = 36 The possible ordered pairs are (1, 1), (1, 2), (1, 3), (1, 5), (1, 7), (2, 1),... View Article

If the fourth term in the expansion of (x + x^{log_{2} x})⁷is 4480, then the value of x where x ∈ N is equal to

a. 4 b. 3 c. 2 d. 1 Answer: (c) 7C3 x4 (xlog2 x)3 = 4480 35x4 (xlog2 x)3 = 4480 x4 (xlog2 x)3 = 128 Take log w.r.t base 2 we get 4 log2 x... View Article

If cot^-1 (ɑ) = cot^-12 + cot^-1 8 + cot^-118 + cot^-1 32 + …….. upto 100 terms, then ɑ is:

a. 1.03 b. 1.00 c. 1.01 d. 1.02 Answer: (c) RHS = ∑n=1100 cot-1 2n2 = ∑n=1100 tan-1 (2 / 4n2) = ∑n=1100 tan-1 {[(2n + 1) - (2n... View Article

In a triangle PQR, the coordinates of the points P and Q are (-2, 4) and (4, -2) respectively.

In a triangle PQR, the coordinates of the points P and Q are (-2, 4) and (4, -2) respectively. If the equation of the perpendicular bisector of... View Article

Team A consists of 7 boys and n girls and Team B has 4 boys and 6 girls.

Team A consists of 7 boys and n girls and Team B has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams... View Article

The line 2x – y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x – 2y = 4. Then, the radius of the circle is:

a. 4√5 b. 3√5 c. 5√3 d. 5√4 Answer: (b) m1 * m2 = – 1 [{[a - 4] / 2}-5 / (a - 2)] * 2 = - 1 [a - 14] / [a... View Article

If A = [latex]\begin{pmatrix} 0 &sin\alpha \\ sin\alpha &0 \end{pmatrix}[/latex] and det (A² – (1 / 2) I) = 0, then a possible value of ɑ is:

a. π / 6 b. π / 2 c. π / 3 d. π / 4 Answer: (d)... View Article

The equation of the plane which contains the y-axis and passes through the point (1, 2, 3) is:

a. 3x + z = 6 b. 3x − z = 0 c. x + 3z = 10 d. x + 3z = 0 Answer: (b) Let the equation of the plane is a(x – 1) + b(y – 2) + c... View Article

Let [latex]\vec{a}=2i-3j+4k,\vec{b}=7i+j-6k[/latex]. If [latex]\vec{r}\times\vec{a}=\vec{r}\times\vec{b},\vec{r}.(i+2j+k)=-3,[/latex], then [latex]\vec{r}.(2i-3j+k)=[/latex] is equal to

a. 10 b. 13 c. 12 d. 8 Answer: (c)... View Article

M	T	W	T	F	S	S
	1	2	3	4	5	6
7	8	9	10	11	12	13
14	15	16	17	18	19	20
21	22	23	24	25	26	27
28	29	30

Archives

The area of the triangle with vertices A (z), B (iz) and C (z + iz) is:

In a school, there are three types of games to be played.

The inverse of y = 5^logx is

Two dice are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is:

If the fourth term in the expansion of (x + x^{log_{2} x})⁷is 4480, then the value of x where x ∈ N is equal to

If cot^-1 (ɑ) = cot^-12 + cot^-1 8 + cot^-118 + cot^-1 32 + …….. upto 100 terms, then ɑ is:

In a triangle PQR, the coordinates of the points P and Q are (-2, 4) and (4, -2) respectively.

Team A consists of 7 boys and n girls and Team B has 4 boys and 6 girls.

The line 2x – y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x – 2y = 4. Then, the radius of the circle is:

If A = [latex]\begin{pmatrix} 0 &sin\alpha \\ sin\alpha &0 \end{pmatrix}[/latex] and det (A² – (1 / 2) I) = 0, then a possible value of ɑ is:

The equation of the plane which contains the y-axis and passes through the point (1, 2, 3) is:

Let [latex]\vec{a}=2i-3j+4k,\vec{b}=7i+j-6k[/latex]. If [latex]\vec{r}\times\vec{a}=\vec{r}\times\vec{b},\vec{r}.(i+2j+k)=-3,[/latex], then [latex]\vec{r}.(2i-3j+k)=[/latex] is equal to

The sum of possible values of x for tan^-1 (x + 1) + cot^-1 [1 / (x – 1)] = tan^-1 (8 / 31) is

Choose the incorrect statement about the two circles whose equations are given below

If the Boolean expression

The value of 4 + (1/(5 + 1/4 + 1/5…

The system of equations kx + y + z = 1, x + ky + z = k and x + y + zk = k² has no solution if k is equal to

Which of the following is true for y(x) that satisfies the differential equation (dy/dx) = xy – 1 + x – y; y (0) = 0

In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz.

An engine operates by taking a monatomic ideal gas through the cycle shown in the figure.