Home
Class 12
MATHS
If y^2=4b(x-c) and y^2 =8ax having commo...

If `y^2=4b(x-c) and y^2 =8ax` having common normal then `(a,b,c)` is (a) `(1/2,2,0)` (b) `(1,1,3)` (c) `(1,1,1)` (d) `(1,3,2)`

A

(1, 1, 0)

B

`((1)/(2), 2, 3)`

C

`((1)/(2), 2, 0)`

D

(1,1,3)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE|Exercise Chapter 6 (Ellipse)|3 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 7 (Hyperbola)|7 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 4 (Circle)|10 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Question Bank|24 Videos
  • LIMITS

    CENGAGE|Exercise Question Bank|30 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+3x+3=0 and ax^(2)+bx+1=0 ,a,b in Q have a common root,then value of (3a +b) is equal to : (A) (1)/(3) (B) 1 (C) 2 (D) 4

If the given equation ax^2+bx+c=0 and the equation x^2+2x+9=0 have a common root, then a:b:c is (A) 1:2:9 (B) 1:2:3 (C) 1:1:1 (D) none of these

A normal is drawn at a point " (x_(1),y_(1)) " of the parabola " y^(2) - 16x " and this normal makes equal angle with both "x" and "y" axes,Then point " (x_(1),y_(1)) " is (a) " (4,-4) ," (b) " (2,-8) " (c) " (4,-8) " (d) " (1,-4) "

The number of normal (s) to the parabola y^(2)=8x through (2,1) is (B) 2(A)1(D)3(C)0

If (4b^(2)+(1)/(b^(2)))=2, then (8b^(3)+(1)/(b^(3)))=? (a) 0 (b) 1 (c) 2 (d) 5

If y=y(x) and ((2+sinx)/(y+1))dy/dx=-cosx, y(0)=1 , then y(pi/2) equals (A) 1/3 (B) 2/3 (C) -1/3 (D) 1

If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc=3 then (1)/(a)+(1)/(b)+(1)/(c) is equal to a.1/2 b.2 c.1 d.0

If a b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b)) ? (a) 0 (b) 1 (c) 3 (d) a+b+c

If ax^2+2bx+c=0 and a_1x^2+2b_1x+c_1=0 have commonroot and a/a_1,b/b_1,c/c_1 are in A.P., show that are: ax^2+2bx+c=0

If x^(3) + 2x^(2) + ax + b is exactly divisible by x^(2) - 1 , then the value of a and b are respectively (a)1 and 2 (b)1 and 0 (c) -1 and -2 (d)0 and 1