Scribd
Upload
17 views1 page

Roncept Builder: Q8. Let A Curve y F (Z) Pass Through The Point (2, (Log, 2) ') and Have Slope (4) Tan

This document discusses calculus concepts related to derivatives, tangents, normals and curves. It contains 10 multiple choice questions that assess understanding of these concepts: 1) Finding the r-intercept of the normal to a quadratic curve at a given point 2) Finding the equation of the normal to a quadratic curve at a given point 3) Determining the set of natural numbers for which a line is tangent to a given curve 4) Finding the angle between a tangent line and the x-axis for a given curve 5) Relating the slope of a tangent line to the slope of a line through the tangent point and vertex for a parabola 6) Determining whether a given point satisfies a curve

Uploaded by

tusharfiitjee80
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
17 views1 page

Roncept Builder: Q8. Let A Curve y F (Z) Pass Through The Point (2, (Log, 2) ') and Have Slope (4) Tan

This document discusses calculus concepts related to derivatives, tangents, normals and curves. It contains 10 multiple choice questions that assess understanding of these concepts: 1) Finding the r-intercept of the normal to a quadratic curve at a given point 2) Finding the equation of the normal to a quadratic curve at a given point 3) Determining the set of natural numbers for which a line is tangent to a given curve 4) Finding the angle between a tangent line and the x-axis for a given curve 5) Relating the slope of a tangent line to the slope of a line through the tangent point and vertex for a parabola 6) Determining whether a given point satisfies a curve

Uploaded by

tusharfiitjee80
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 1

Calculus

rivatives
Der
o
Wealication

rONCEPTBUILDER
fangentVormal
quadratic curve passing through the point (-1,0) and touching the linc y at (1, 1) be
Q.
tthe
Let
flæ). Then the r-intercept of thhe normal to the curve at the point (o,a t 1) in thc first
quadrantis 10 Apr 2023 (E)
cquation of the normal to the curve y (ztb) (r 2) at thc point (1,-3) is z 41 13
0%. Ifthe
to
on the value of a +bis cqual 29 Jan 2023 (E) H

Qi. Let Sbe the set of all the natural numbers, for which the line + * 2 is atangent to the curve

(4)'+()" = 2 at the point (a, b), ab 0. Then 26 Jun 2022 (M)


() S= ó (2) n(S)=1 (3) S{2k: ke N) (4) S=N
a fthe angle made by the tangent at the point (z0, 30)) on the curve z =12(t +sin teo% t).
u= 12(1 + sin t)",0 <t<, with the positive æ-axis is , then o is cqual to 25 Jun 2022 (E)
(oo(3+2V2) (2) 3(7+4Vs) (3) 27 (4) 48
at 1fthe line y = 4+ kæ, k > 0, is the tangent to the parabola y = T r² at the point P and V is the D
vertex of the parabola, then the slope of the line through P and V is 25 Jun 2022 (E) 2
(1) (2) 2 (3) (4)
06. If the tangent at the point (1,y1) on the curvey= + 3z² +5 passes through the origin, then
(z1,y) does NOT lie on the curve 24 Jun 2022 (M)

(2) a?=8 (3) y = 4g2+ 5 (4) - =2


() +=2
Q7. An angle of intersection of the curves, + = land æ +y= ab, a > b, is :
31 Aug 2021 (E)
(1) tan (2Vab) (2) tan-() Sab (4) tan()
(3) tan -14-b

2y
Q8. Let acurve y= f(z) pass through the point (2, (log, 2)') and have slope for all positive
25 Jul 2021 (E)
real values of z. Then the value of f(e) is equal to

09. The shortest distance between the line - y=l and the curve a²= 2y is: 25 Feb 2021 (E) O

(1) (2) (3) 2/2 (4) 0

Y0. IT the curves r = y and æv = k cut at right angles, then (4k) is equal to 25 Feb 2021 (E) ON

Y T the area of the triangle formed by the a-axis, the normal and the tangent o the circle
(2-2) + (4-3) = 25 at the point (5,7) is A, then 24A is cqual to
24 Feb 2021 (E)
For which of the following curves, the line æ + V3y = 2V3 is the tangent at the point ,)?
24 Feb 202 1 (E)
(1) 2z2 -18y =9 (2) y²= (3) a2 + 9y? = 9 (4) a² +y' =7

181

You might also like