Maths-

General

Easy

Question

Find two values of k such that the points (2,-3), (3,0),(4,k) are collinear.

1
3
6
5

hint Hint:

In this question, we have to find the value of k if the co-ordinates of the collinear points are A(2,-3), B(3,0) and C(4,k). As the points are are collinear so the slope of AB and AC will be same. So, we will equate the slopes to find the required value of k.

The correct answer is: 3

The co-ordinates of the collinear points are A(2,-3), B(3,0) and C(4,k).
Slope of AB
$equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator 0 minus left parenthesis negative 3 right parenthesis over denominator 3 minus 2 end fraction equals 3 over 1 equals 3$
Slope of AC
$equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator k minus left parenthesis negative 3 right parenthesis over denominator 4 minus 2 end fraction equals fraction numerator k plus 3 over denominator 2 end fraction$
As the points are collinear so the Slopes of AB = Slope of AC
$3 equals fraction numerator k plus 3 over denominator 2 end fraction 3 cross times 2 equals k plus 3 6 equals k plus 3 k equals 3$
So, the required value of k is 3.

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

Here we used the concept of Arithmetic progression to find the number of terms in the given series. When we study Arithmetic Progression, which is associated with: There are two key formulas we encounter, those were nth term of AP and sum of the first n terms. So therefore the number of terms in this AP is 11.

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

Maths-General

General

Maths-

The sum of all two digit numbers which when divided by 4 leaves 1 as remainder is

Maths-General

General

physics-

The value of current in the following diagrams is (diode assumed to be ideal one)

physics-General

General

maths-

Three coins of unit radius are placed in an equilateral triangle as shown in the following figure The area of the equilateral triangle is

maths-General

General

physics-

In Fig. $V subscript 0 end subscript$ is the potential barrier across a p-n junction, when no battery is connected across the junction:

physics-General

General

physics-

The output of the given circuit in Fig.

physics-General

General

physics-

A full wave rectifier along with the output is shown in fig. the contributions from the diode (2)are

physics-General

General

physics-

Which of the following are not fundamental particles
i) Electron
ii) Photon
iii) α - Particle
iv) Deutron

physics-General

General

physics-

The table that follows shows some measurements of the decay rate of a sample of ¹²⁸I , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.

The half life $t subscript 1 divided by 2 end subscript$ for this radio nuclide.

physics-General

General

physics-

Binding energy per nucleon versas mass number curve for nuclei is shown in the fig W,X,Y and Z are four nuclei indicated on the curve. The process that would release energy is

physics-General

General

maths-

ABCD is a Parallelogram. $text DL end text perpendicular to the power of r end exponent text , end text$ AB and DM $perpendicular to the power of r end exponent B C$ If AB = 18 cm, BC=12 cm and DM = 9 cm then find DL .

maths-General

General

maths-

ABCD is a Parallelogram, DL $perpendicular to the power of r end exponent$ AB. If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.

maths-General

General

Maths-

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Find two values of k such that the points (2,-3), (3,0),(4,k) are collinear.

1 36 5

In this question, we have to find the value of k if the co-ordinates of the collinear points are A(2,-3), B(3,0) and C(4,k). As the points are are collinear so the slope of AB and AC will be same. So, we will equate the slopes to find the required value of k.

The correct answer is: 3

The co-ordinates of the collinear points are A(2,-3), B(3,0) and C(4,k).Slope of ABSlope of ACAs the points are collinear so the Slopes of AB = Slope of ACSo, the required value of k is 3.

Related Questions to study

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

The sum of all two digit numbers which when divided by 4 leaves 1 as remainder is

The sum of all two digit numbers which when divided by 4 leaves 1 as remainder is

The value of current in the following diagrams is (diode assumed to be ideal one)

The value of current in the following diagrams is (diode assumed to be ideal one)

Three coins of unit radius are placed in an equilateral triangle as shown in the following figure The area of the equilateral triangle is

Three coins of unit radius are placed in an equilateral triangle as shown in the following figure The area of the equilateral triangle is

In Fig. is the potential barrier across a p-n junction, when no battery is connected across the junction:

In Fig. is the potential barrier across a p-n junction, when no battery is connected across the junction:

The output of the given circuit in Fig.

The output of the given circuit in Fig.

A full wave rectifier along with the output is shown in fig. the contributions from the diode (2)are

A full wave rectifier along with the output is shown in fig. the contributions from the diode (2)are

Which of the following are not fundamental particlesi) Electronii) Photoniii) α - Particleiv) Deutron

Which of the following are not fundamental particlesi) Electronii) Photoniii) α - Particleiv) Deutron

The table that follows shows some measurements of the decay rate of a sample of 128I , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.The half life for this radio nuclide.

The table that follows shows some measurements of the decay rate of a sample of 128I , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.The half life for this radio nuclide.

Binding energy per nucleon versas mass number curve for nuclei is shown in the fig W,X,Y and Z are four nuclei indicated on the curve. The process that would release energy is

Binding energy per nucleon versas mass number curve for nuclei is shown in the fig W,X,Y and Z are four nuclei indicated on the curve. The process that would release energy is

ABCD is a Parallelogram. AB and DM If AB = 18 cm, BC=12 cm and DM = 9 cm then find DL .

ABCD is a Parallelogram. AB and DM If AB = 18 cm, BC=12 cm and DM = 9 cm then find DL .

ABCD is a Parallelogram, DL AB. If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.

ABCD is a Parallelogram, DL AB. If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.

Find the perimeter of the following figure.

Find the perimeter of the following figure.

Find the perimeter of the following figure.

Find the perimeter of the following figure.

Find the perimeter of the following figure.

Find the perimeter of the following figure.

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

1
3
6
5

In Fig. $V subscript 0 end subscript$ is the potential barrier across a p-n junction, when no battery is connected across the junction:

In Fig. $V subscript 0 end subscript$ is the potential barrier across a p-n junction, when no battery is connected across the junction:

Which of the following are not fundamental particles
i) Electron
ii) Photon
iii) α - Particle
iv) Deutron

Which of the following are not fundamental particles
i) Electron
ii) Photon
iii) α - Particle
iv) Deutron

The table that follows shows some measurements of the decay rate of a sample of ¹²⁸I , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.

The half life $t subscript 1 divided by 2 end subscript$ for this radio nuclide.

The table that follows shows some measurements of the decay rate of a sample of ¹²⁸I , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.

The half life $t subscript 1 divided by 2 end subscript$ for this radio nuclide.

ABCD is a Parallelogram. $text DL end text perpendicular to the power of r end exponent text , end text$ AB and DM $perpendicular to the power of r end exponent B C$ If AB = 18 cm, BC=12 cm and DM = 9 cm then find DL .

ABCD is a Parallelogram. $text DL end text perpendicular to the power of r end exponent text , end text$ AB and DM $perpendicular to the power of r end exponent B C$ If AB = 18 cm, BC=12 cm and DM = 9 cm then find DL .

ABCD is a Parallelogram, DL $perpendicular to the power of r end exponent$ AB. If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.

ABCD is a Parallelogram, DL $perpendicular to the power of r end exponent$ AB. If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.