List of top Mathematics Questions

You have to find out what will come in place of the question mark
0.7 x 0.5 = ?
You have to find out what will come in place of the question mark
\(\sqrt{486}\)++ 21% of 32 =?
You have to find out what will come in place of the question mark
20 x \(\frac{1}{2}\)
You have to find out what will come in place of the question mark
42 + 73 + 137 = ?
Let $s_n = \cos \left(\frac{n\pi}{10}\right), n=1,2,3,\ldots$ Then the value of $\frac{s_{1}s_{2}\ldots s_{10}}{s_{1}+s_{2}+\ldots+s_{10}}$ is equal to
If the normal at point P (at12,2at1) and Q(at22,2at2) on the parabola y2=4ax meet on the parabola, thet1t2 equals
PQ and RS are two perpendicular chords of the rectangular hyperbola xy=c2. If C is the centre of the rectangular hyperbola, then the product of the slopes of CP,CQ,CR and CS is equal to:
In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.
Simplify.
(i) (x2– 5) (x + 5) + 25
(ii) (a2+ 5) (b3+ 3) + 5
(iii) (t + s2) (t2 – s)
(iv) (a + b) (c – d) + (a – b) (c + d) + 2 (ac + bd)
(v) (x + y) (2x + y) + (x + 2y) (x – y)
(vi) (x + y) (x2– xy + y2)
(vii) (1.5x – 4y) (1.5x + 4y + 3) – 4.5x + 12y
(viii) (a + b + c) (a + b – c)
Find the following integral: \(\int (ax^2+bx+c)dx\)
In Class XI of a school 40% of the student's study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.
Find the distance between parallel lines
(i) \(15x + 8y – 34 = 0\) and \(15x + 8y + 31 = 0\)
(ii) \(l (x + y) + p = 0\) and \(l (x + y) – r = 0.\)
(i) If z = 10, find the value of z3 – 3(z – 10) 
(ii) If p = – 10, find the value of p2 – 2p – 100
Solution of the equation $x^2 dy + y (x + y) dx = 0$ is
For the following statements, write True (T) or False (F). If the statement is false, correct the statement.
(a) – 8 is to the right of – 10 on a number line.
(b) – 100 is to the right of – 50 on a number line.
(c) Smallest negative integer is – 1.
(d) – 26 is greater than – 25.
Prove that cos 4x =1-8 sin2 x cos2 x
If $cos x = -\frac{4}{5}$, where $x\in\left[0, \pi\right]$, then the value of $cos \left(\frac{x}{2}\right)$ is equal to
If $x=sin^{-1}\left(3t-4t^{3}\right)$ and $y=cos^{-1}\left(\sqrt{1-t^{2}}\right)$, then $\frac{dy}{dx}$ is equal to
If $log_e\,5$, $log_e(5^x-1)$ and $log_e$ $\left(5^{x}-\frac{11}{5}\right)$ are in $A.P.$, then the values of $x$ are
The domain and range of relation $R = \{ (x , y ) /x , y \in N , x + 2y = 5\}$ is
Let f : R $\rightarrow$ R be function defined by f(x) = sin (2x -3), then f is
Order of $\left(3x + 2y\right) \left(\frac{dy}{dx}\right)^{2} +5x \frac{d^{2}y}{dx^{2}} = 0 $ is
By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

Solve the following pair of linear equations by the substitution method. 
(i) x + y = 14 
    x – y = 4   

(ii) s – t = 3 
    \(\frac{s}{3} + \frac{t}{2}\) =6 

(iii) 3x – y = 3 
      9x – 3y = 9

(iv) 0.2x + 0.3y = 1.3 
     0.4x + 0.5y = 2.3 

(v)\(\sqrt2x\) + \(\sqrt3y\)=0
    \(\sqrt3x\) - \(\sqrt8y\) = 0

(vi) \(\frac{3x}{2} - \frac{5y}{3}\) =-2,
    \(\frac{ x}{3} + \frac{y}{2}\) = \(\frac{ 13}{6}\)

The circle x2+y2+4x−7y+12=0 cuts an intercept on y -axis of length