If a straight line through C(−√8,√8) making an angle 135

Question

If a straight line through $C (- \sqrt{8}, \sqrt{8})$ making an angle $135^{\circ}$ with the x-axis cuts the circle $x = 5 c o s θ, y = 5 s i n θ$ in points A and B, then length of segment AB is

Options:

A . 5

B . 10

C . 15

D .

15 \sqrt{2}

Answer: Option B
:
B
Inclination of the line

\leftarrow \to A B

135^{\circ} \Rightarrow S l o p e = t a n 135^{\circ} = - 1

Equation of

\leftarrow \to A B

y - \sqrt{8} = - 1 (x + \sqrt{8}) \Rightarrow x + y = 0

x + y = 0 passes through the centre of the circle

x^{2} + y^{2} = 25

∴

Length of the chord AB = Diameter of the circle =

2 \times 5 = 10

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. The equation of the circle passing through the point (1, –2) and having its centre on the line 2x – y &#....touching the line 4x + 3y – 23 = 0

Question 2. If a point P(x,y) moves along the ellipse x225+y216=1 and if C is the centre of the ellipse, then, 4 max{CP} + 5 min{C....centre of the ellipse, then, 4 max{CP} + 5 min{CP}=___ .

Question 3. The line segment joining (5,0) and (10 cos t, 10 sin t) is divided internally in the ratio 2:3 at P. If t varies, then....P. If t varies, then the locus of P is

Question 4. The eccentricity of the hyperbola 4x2−y2−8x−8y−28 is equal to ___ . ....

Question 5. Given standard equation of ellipse, x2a2+y2b2=1,a>b, with eccentricity e Match the following a)Focusi) (ae,0)b)Dir....with eccentricity e Match the following a)Focusi) (ae,0)b)Directrixii) (a,0)c)Eccentricityiii) x=aed)Verticesiv) (-ae,0)v) x=-aevi)√1-b2a2

Question 6. If the eccentricity of a hyperbola is √2 and if the distance between the foci is 16, then its equation is ....distance between the foci is 16, then its equation is

Question 7. If a circle whose centre is (1, –3) touches the line 3x – 4y –5 = 0, then the radius of the circl....–5 = 0, then the radius of the circle is

Question 8. Consider a family of circles which are passing through the point (–1, 1) and are tangent to x-axis. (h, k) are ....set of values of k is given by the interval

Question 9. The end points of latus rectum of the parabola x2=4ay are ....

Question 10. The ends of latus rectum of parabola x2+8y=0 are ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

ICA Combined 1 Free Revision Test SAIL JO E-0

RDIC Review Test SAIL JO E-0

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

RSP Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers