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ABCD is a parallelogram with diagonal AC. If a line XY is drawn such that XZ $\parallel$ AB then $\frac{BX}{XC}$ =?

The tops of two poles of height 20m and 14m are connected by a wire. If the wire makes an angle of 30 degrees with horizontal, then the length of the wire is:

The figure given below has been constructed by following the steps given below.

I: Draw aray AX making an acute angle with a given side AB of ΔABC on the opposite side of vertex C.

II: Locate 3 points A₁, A₂, A₃ on line AX such that AA₁ = A₁A₂ = A₂A₃. Join BA₃.

III: Drow a line through A₂parallel to BA₃ to intersect AB at point B'. Drow a line through B' parallel to the line BC to intersect AC at C'.

Then, ΔAB'C' and ΔABC are

What is elimination method for solving MCQ QUESTION as sir told in vedio of solving problems in quadratic equations lessons

If the ratio of the sum of n terms of two AP's be (7n+1):(4n+27) find the ratio of their 11^th terms

Find the area of a triangle whose vertices are (0, 0), (0, b) and (x, y).

The sum of a number and its reciiprocal is $\frac{17}{4}$. Find the number.

if alpha and beta are the two zeroes of the polynomial x2-6x=a, find alpha if beta is -2

The option with the values of L that satisfying the equation $\frac{{\int }_0^{4\pi }{e}^t(si{n}^{6}at+co{s}^{4}at)dt}{{\int }_0^{\pi }{e}^t(si{n}^{6}at+co{s}^{4}at)dt}=L,$ is

If tan $\theta =\frac{1}{\sqrt{7}}$, show that $\frac{cose{c}^2\theta -se{c}^2\theta }{(cose{c}^2\theta +se{c}^2\theta }=\frac{3}{4}$

Find the radius of a circle whose perimeter and area are numerically equal.

Find the coordinates of the points which divide the line segment joining $A(-2,2)$ and $B(2,8)$ into four equal parts.

Find the circumference and area of a circle of radius 4.2 cm.

How many three digit numbers are divisible by 7?

The sum of n term of an AP is 5n-n^2 .find the nth term of this AP

If PQRS is a parallelogram, with point A on QR, then $\frac{AP}{AB}$ is equal to

Can it be assumed the base as 10 for log when it’s base isn’t given?

How many numbers lie between 10 and 300 which when divided by 4 leaves a remainder 3

Which is the better investment :

16% Rs 100 shares at 80 or 20% Rs 100 shares at 120 ?

The number of terms of an A.P. is even; the sum of the odd terms is 24, and of the even terms is 30, and the last term exceeds the first by $\frac{21}{2}$, then the number of terms in the series is

P(x) = x⁴ + ax³ + bx² + cx+ d and p(1) = p(2) = p(3) =0 then find the value of p(4) + p(0).

$\begin{array}{cccccccc}\text{Class mark}& 12.5& 17.5& 22.5& 27.5& 32.5& 37.5& 42.5\\ \text{Frequency}& 12& 17& 22& 27& 30& 21& 16\end{array}$

(a) From the distribution, given above, construct a frequency table.

(b) Use the table obtained in part (a) to draw : (i) a histogram, (ii) an ogive.

A moter boat that 30km upstream and 28km downstream 7km/h . It can travel 21km upstream and return in 5hours .find the speed of the boat in still water and speed of the stream.

Match the following:

$\begin{array}{cc}1.sin({90}^{\circ }-A)& a)cosecA\\ 2.tan({90}^{\circ }-A)& b)cotA\\ 3.sec({90}^{\circ }-A)& c)cosA\end{array}$

Find the sum of first 10 terms of the G.P 3, 6, 12, 24 .......

96 books of English ,240 books of hindi and 336 books of maths have to packed In bundles with each bundle containing equal number of books of each of the subject. What is the difference of the largest number of books which can be packed in each bundle and the least number of bundles which can be made ?

If $x=\sqrt{a}\sin \alpha$ and $y=\sqrt{a}\cos \alpha$. The value of $y^2+x^2$ is

If the points (a, 0), (0, b) and (1, 1) are collinear, then which of the following is true?

Find the value of

$\frac{1+\sin {30}^{\circ }}{\cos {30}^{\circ }}+\frac{\cos {30}^{\circ }}{1+\sin {30}^{\circ }}$

Prove that a parallelogram circumscribing a circle is a rhombus.

If 24 men can do a piece of work in 28 hours, in how many hours will 16 men do it?

A rocket is in the form of a circular cylinder closed at the lower end and a cone of the same radius is attached to the top. The radius of the cylinder is 2.5 m and its height is 21 m. Also, the slant height of the cone is 8 m. The total surface area of the rocket is

If the mean and median of a set of numbers are 8.9 and 9 respectively then the mode will be

(a) 7.2 (b) 8.2 (c)9.2 (d)10.2

Construct a $△ABC$ in which BC = 8 CM, $\angle B={45}^{\circ }and\angle C={60}^{\circ }.$ Construct another triangle similar to $\Delta ABC$ such that its sides are $\frac{3}{5}$ of the corresponding sides of $\Delta ABC.$

Find the area in square cm, correct to one place of decimal. (Take $\pi =\frac{22}{7}$)

In a grass field, a bull is tied to a pole with a rope of length 7 meters. How much area of field is it allowed to be grazed?
$(Take\pi =\frac{22}{7}$)

The first and. the last terms of an A.P. are 17 and 350 respectively. If the difference is 9, how many. terms are there and. what is their sum?

A conical tomb is made up of bricks of a front surface area of 5 square meters.The slant height and radius of the tomb are measured to be 25 m and 7 m respectively. The approximate number of bricks made used to construct the tomb are ___ (Take $\pi =\frac{22}{7}$)

Use Euclid’s algorithm to find the HCF of 4052 and 12576.

if the lines ax+2y+1=0, bx+3y+1=0, cx+4y+1=0 are concurrent then a,b,c are in:

a) AP

b)GP

c)HP

d)Neither GP or AP

If the $p^{th}$ term of an A.P. is q and the $q^{th}$ term is p, prove that its $n^{th}$ term is (p + q – n).

In what ratio does the x-axis divide the line segment joining the points (2, –3) and (5, 6)? Also, find the coordinates of the point of intersection.

If a quadratic polynomial x^2+bx+1,b€R has two zeros which are both real, then b has how many values?

The inradius of an equilateral triangle is $\frac{\sqrt{3}}{3}$ cm. What is the length of each side of the triangle?