Embibe Experts Solutions for Chapter: Parabola, Exercise 1: Exercise-1

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Parabola, Exercise 1: Exercise-1

Attempt the free practice questions on Chapter 17: Parabola, Exercise 1: Exercise-1 with hints and solutions to strengthen your understanding. Alpha Question Bank for Engineering: Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Parabola, Exercise 1: Exercise-1 with Hints & Solutions

MEDIUM
JEE Main/Advance
IMPORTANT

If two tangents to the parabola y2=4ax from a point P make angles θ1 and θ2 with the axis of the parabola, then find the locus of P in each of the following cases.

(iii) tanθ1+tanθ2=λ (is constant)

EASY
JEE Main/Advance
IMPORTANT

If one end of a focal chord of the parabola y2=4x is (1,2), the other end doesn't lie on 

MEDIUM
JEE Main/Advance
IMPORTANT

Identify following statements for true/false (T / F) in order
S1: The circles on focal radii of a parabola as diameter touch the tangent at the vertex
S2 : The circles on focal radii of a parabola as diameter touch the axis
S3: A circle described on any focal chord of the parabola as its diameter will touch the directrix of the parabola
S4: A circle described on any focal chord of the parabola as its diameter will touch the axis of the parabola

EASY
JEE Main/Advance
IMPORTANT

Equation of a tangent to the parabola y2=12x which make an angle of 45° with line y=3x+77 is

EASY
JEE Main/Advance
IMPORTANT

Identify the following statements for true/false (T/F) in order
S1: The tangents at the extremities of a focal chord of a parabola are perpendicular
S2: The tangents at the extremities of a focal chord of a parabola are parallel
S3: The tangents at the extremities of a focal chord of a parabola intersect on the directrix

S4 : The tangents at the extremities of a focal chord of a parabola intersect at the vertex

EASY
JEE Main/Advance
IMPORTANT

If three normals can be drawn to the curve y2=x from point (c, 0) then 'c ' can be equal to

MEDIUM
JEE Main/Advance
IMPORTANT

The equation of common tangent of x2+y2=2 and y2=8x is

MEDIUM
JEE Main/Advance
IMPORTANT

The equation of common normal to the circle x2+y2-12x+16=0 and parabola y2=4x is