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find the value of k if (x-1) is a factor of the polynomial kx²-3x+k

Respected Sir,

Please help me in solving my below mentioned doubt:

Question is: In a triangle ABC, if AB = AC and AB is produced to D such that BD =BC, find angle ACD : angle ADC.

$\Delta ABC\text{is a right angled at A such that AB = AC and bisector of}\angle C\text{intersects the side AB at D. Prove that AC + AD = BC.}$

What is the graph of a linear equation in 2 variables?

Form a linear equations in a generic representation by the following.

y = (9/5)x +32

Prove that if in a quadrilateral each pair of opposite Angles are equal then it is a parallelogram.

Why do we take x=a in the proof of the remainder theorem

Which of the following should be the SECOND sentence after rearrangement?

Prove that

2a^2+2b^2+2c^2-2ab-2bc-2ca={(a-b)^2+(b-c)^2+(c-a)^2}

$\text{Find the value for x, y for :}\frac{2}{x}+\frac{2}{3y}=\frac{1}{6},\frac{3}{x}+\frac{4}{y}=\frac{-1}{2}$

Any solution of the linear equation 2x + 0y = 9 in two variables, is of the form:

The difference between compound interest and simple interest on an amount of Rs. 10,000 for 2 years is Rs. 64. What is the rate of interest per annum ?

$\frac{tan\theta }{sec\theta }$ + $\frac{cot\theta }{cosec\theta }$ in terms of $sin\theta$ and $cos\theta$ (if $sin\theta$ = x and $cos\theta$ = y) can be written as:

Let $f\left(x\right)=-1+|x-1|,1\le x\le 3$ and $g\left(x\right)=2-|x+1|,-2\le x\le 2$, then (fog)(x) is equal to

Two identical prisms with triangles as base are joined to form a rectangular prism as shown below.

What is the total surface area of the rectangular prism?

An isosceles triangle has perimeter 30cm and each of the equal sides is 12cm. Find the area of the triangle.

Which among the following is a terminating decimal?

In the adjoining figure, ABCD is a quadrilateral and AC is one of its diagonals. Prove that

(i) AB + BC + CD + DA > 2AC

(ii) AB + BC + CD > DA

(iii) AB + BC + CD + DA > AC + BD.

The figure formed by joining the midpoints of the adjacent sides of a rectangle is a

(a) rhombus

(b) square

(c) rectangle

(d) parallelogram

The monthly electricity bill of a family for the year 2013 is; 250 200 300 500 750 1000 1200 795 600 500 300 150. Find the range.

In the figure, AB || CD and P is any point shown in the figure. Prove $\angle ABP+\angle BPD+\angle CDP={360}^0$

$\text{In each of the following cases,given reasons to show that the construction of}\Delta ABCisnotpossible:\left(i\right)AB=6cm,\angle A={40}^{\circ }and(BC+AC)=5.58cm\left(ii\right)AB=7cm,\angle A={50}^{\circ }and(BC-AC)=8cm\left(iii\right)BC=5cm,\angle B={80}^{\circ },\angle C={50}^{\circ },and\angle A={60}^{\circ }\left(iv\right)AB=4cm,BC=3cm,andAC=7cm.$

Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers :

(i) $\sqrt{4}$ (ii) $3\sqrt{18}$

(iii) $\sqrt{1.44}$ (iv) $\sqrt{\frac{9}{27}}$

(v) $-\sqrt{64}$ (vi) $\sqrt{100}$

What is the distance of the point (0, -5) from the origin?

A conical pit of top diameter 3.5 m is 12 m deep.What is its capacity in kilolitres?

If $x=\sqrt{2}-1$, then write the value of

Draw a line segment of length 10 cm and bisect it. Further bisect one of the equal parts and measure its length.

Volume of a cuboid whose length, breadth and height are $20cm,15cm$ and $10cm$ respectively is _______.

Question 3 (ix)
Find
0.5 $\times$ 10

A line has equation x + y = 0

So the line must

Using Remainder Theorem, obtain the remainder when p (x) = x³ - ax² + 5x - 2a is divided by (x- a)

Question 9
Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see the given figure). Prove that $\angle ACP=\angle QCD$

In which quadrant does the point (-1, 3) lie?

${\left[\right(A^{\prime }\cup B^{\prime })-A]}^{\prime }$=____

factorise;

1. (3a-2b)³ + (2b-5c)³+(5c-3a)³

Factorise: x^3-5x^2+2x+8

The coordinates of two points are A (-5, 7) and B(3,4) then (ordinate of B) - (ordinate of A) is.

Three angles of a quadrilateral are 70^o, 120^o and 65^o. The fourth angle of the quadrilateral is :

If a,b,c are in G.P., then $lo{g}_{a}n,lo{g}_{b}n,lo{g}_{c}n$ are in

Question 6
In the given figure, AC = AE, AB = AD and $\angle BAD=\angle EAC.$ Show that BC = DE.

$[{(5z-2)}^2+40z]÷(5z+2)$

Expansion of $(x+y+z{)}^2$ :

Water in a river 6m wide and 1.5m deep flows with a speed of 10km/hr. How much area will it irrigate in half an hour if 8cm of standing water is needed?

$Use10,000m^2=1Hectare$

If mean of x, x +2, x + 4, x + 6 and x + 8 is 11, find the mean of first three observations