List of top Mathematics Questions

A ray of light coming from (3, 1) incident on 2x + y = 6 and deflected ray passing through (7, 2). If equation of incident ray is ax + by + 1 = 0, then a2 + b2 + 3ab =
If \(\frac{1}{(1+d)(1+2d)}+\frac{1}{(1+2d)(1+3d)}+...+\frac{1}{(1+9d)(1+10d)}=1,\) then the value of 50d is____. (d > 0)
Use the figure to name : 
Line containing point E
(a) Line containing point E. 
(b) Line passing through A. 
(c) Line on which O lies 
(d) Two pairs of intersecting lines.
A line segment has length 63 and direction ratios, <3, -2, 6>. If the line makes an obtuse angle with x-axis, then the components of the line vector are

Classify each one of the following angles as right, straight, acute, obtuse or reflex:

angles as right, straight, acute, obtuse or reflex:

Add without using number line :
(a) 11 + (– 7)
(b) (– 13) + (+ 18)
(c) (– 10) + (+ 19)
(d) (– 250) + (+ 150)
(e) (– 380) + (– 270)
(f) (– 217) + (– 100)
For 82x - 16.8x + 48 = 0, the sum of values of x is equal to:
Evaluate each of the following:
  1. (–30) ÷ 10
  2. 50 ÷ (–5)
  3. (–36) ÷ (–9)
  4. (– 49) ÷ (49)
  5. 13 ÷ [(–2) + 1]
  6. 0 ÷ (–12)
  7. (–31) ÷ [(–30) + (–1)]
  8. [(–36) ÷ 12] ÷ 3
  9. [(– 6) + 5)] ÷ [(–2) + 1]
Name the types of following triangles: 
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.
(b) \(∆ABC\) with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. 
(c) \(∆PQR\) such that PQ = QR = PR = 5 cm. 
(d) \( ∆DEF\) with m\(∠\) D = 90° 
(e) \(∆XYZ\) with m \(∠\)Y = 90° and XY = YZ. 
(f) \(∆LMN\) with m \(∠\)L = 30°, m \(∠\)M = 70° and m \(∠\)N = 80°.
Let,\(f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},\)then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:
If $\begin{vmatrix}a&5x&p\\ b&10y&5\\ c&15z&15\end{vmatrix} = 125$, then find the value of $\begin{vmatrix}3a&3b&c\\ x&2y&z\\ p&5&5\end{vmatrix}$

The cost of 4 kg onion,3 kg wheat and 2kg rice is Rs 60.The cost of 2 kg onion,4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.

Evaluate\(\begin{vmatrix} 1 & x & y\\ 1 & x+y & y\\1&x&x+y \end{vmatrix}\)

Investigate: 
In the given figure, the angle measure 30º. Look at the same figure through a magnifying glass. Does the angle become larger? Does the size of the angle change?
magnifying glass
The resultant of two vectors of magnitudes \(2A\) and \(\sqrt2A\) acting at an angle θ is \(\sqrt10 A\). The correct value of \(θ\) is?
What is the period of the function sin 4x + tan 2x?
Show that the function given by f(x)=\(\frac{logx}{x}\) has maximum at x=e
If $X=\{1,2,3, \ldots, 10\}$ and $A=\{1,2,3,4,5\}$. Then, the number of subsets $B$ of $X$ such that $A-B=\{4\}$ is
A committee of 11 members is to be formed from 8 males and 5 females. Let m denotes the number of ways of selecting committee having atleast 6 males and n denotes the number of ways of selecting atleast 3 females then
Which of the following is correct for any two complex numbers $z_{1}$ and $z_{2}$ ?
Which of the following is not a statement?
Which of the following is different from the others?
The distance of the origin from the plane through the points $(1, 1, 0)$, $(1, 2, 1)$ and $(-2, 2, -1)$ is
The degree of the differential equation satisfying the relation$\sqrt{1+x^2}+\sqrt{1+y^2}=\lambda(x\sqrt{1+y^2}-y\sqrt{1+x^2}) is$
A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A13 is 3n then n equal to: