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If the equation $x^2+2(k+2)x+9k=0$ has real equal roots, then values of $k$ are ____

The area of a triangle is 5 square units. Two of its vertices are (2, 1) and (3, -2) and the third vertex lies on y = x + 3, the third vertex is

$(sinA+cosecA{)}^2+(cosA+secA{)}^2=$

Apurva deposited Rs. 200 per month for 36 months in a bank’s recurring deposit account. The bank pays interest rate of 11% per annum. Calculate the amount that she will receive on the maturity.

Use Euclid's division lemma to show that the square of any positive integer cannot be of the form 5m+2 or 5m+3 for some integer m

$△ABC$ is isosceles with AB = AC. If a circle through B touches the side AC at its mid-point D and intersects the side AB at P, then $\frac{AP}{AB}$ = ______.

What is alpha,beta,gamma

And how to use it in equation's

Plz tell me!

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17} and A = {1, 4, 6, 9, 11, 12}, then set $A^C$​ is

Find the HCF of 51 and 255, and express in the form 255x+51y.

The pattern given below consists of four parts, choose the most appropriate option that can replace ‘?’ to complete the given figure.

Empirical probability is defined as

In what ratio does the point (15, 22.5) divide the line joining A(10,20) and B(30,30)?

The ratio is 1 : __

In the above figure, AB=c, BC =a, AC=b ,AD=y, DB=p. Check which of the following options is correct?

Given $A=\{x,y,z,\}B=\{u,v,w\},thefunctionf:A\to Bdefinedbyf\left(x\right)=u,f\left(y\right)=v,f\left(z\right)=w$ is

If cos $\theta =\frac{5}{13}$, find the value of $\frac{si{n}^2\theta -co{s}^2\theta }{2sin\theta cos\theta }\times \frac{1}{ta{n}^2\theta }$

Solve the following inequation:

$4x-19<\frac{3x}{5}-2\le \frac{-2}{5}+x,x\in R$

If $x=\frac{2}{3}$ and x = - 3 are the roots of equation $a{x}^2+7x+b=0,$ find values of a and b.

Given that cos θ = ^m/_n then tanθ is equal to

A solid consists of a circular cylinder with an exact fitting circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder is

Choose the correct answer in each of the following questions:
The class mark of the class 100-120 is
(a) 100
(b) 110
(c) 115
(d) 120

$\text{If}U=\{x:x\in N\},$ $A=\{x:x=2n,n\in N\}$ and $B=\{x:x\text{is a prime number}\},$ then $A\cap B$ is a set with cardinality ________.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion:
$\frac{13}{3125}$ and $\frac{13}{21}$

In the above figure O is the center of the circle and $\angle$AOB = ${80}^{\circ }$, then match the following.

$\begin{array}{cc}Angle& Value\\ 1.ACB& a.90\\ 2.ADB& b.40\\ 3.ABC& c.80\\ 4.AOC& d.180\end{array}$

If the point (3, 5) lies on the graph of the equation 3y = ax + 9, find the value of a.

Find how many integers between 200 and 500 are divisible by 8.

the first three terms of an AP are respectively (3y - 1), (3y +5) and (5y + 1), find hte value of y.

Which of the following options are equal to ${\cos }^{2}A-{\sin }^{2}A$ ?

A person sends an SMS to four friends with the instruction that it has to be sent to four of their friends. Considering the fact that the chain is not broken and that it costs 50 paise to send one message, find the amount spent when the eighth set of messages is sent.

If three coins are tossed simultaneously, then the probability of getting at least one head and tail is _____.

The ratio of the corresponding sides of two similar triangles is $1:3$. The ratio of their corresponding heights is

An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is ${45}^{\circ }$. The height of the chimney is?

The fourth term of an A. P. is 11 and the eighth term exceeds twice the fourth term by 5. Find the A. P. and the sum of first 50 terms.

Evalute : $\frac{sec{29}^{\circ }}{cosec{61}^{\circ }}$ + 2 cot $8^{\circ }$ cot ${17}^{\circ }$ cot${45}^{\circ }$ cot${73}^{\circ }$ cot${82}^{\circ }$.

If a line intersects sides AB and AC of a $\Delta ABC$ at D and E respectively and is parallel to BC, prove that $\frac{AD}{AB}=\frac{AE}{AC}$. [2 MARKS]

If terms 9, x, 21 form an arithmetic progression, then the value of x is ____.

Working $5$ hours daily ,Shaheed can embroider sarees in $21$ days .How many days will it take for him to embroider 6 sarees working $7$ hours daily ?

In triangle ABC, right angled at B, if one angle is ${45}^{\circ }$, find the value of sin A and cos C.

If (7,3), (6,1), (8,2) and (p,q) are the vertices of a parallelogram, taken in order, then find the values of p and q.
p = ___ and q = ___